Kac-Moody Algebras and the Virasoro Algebra [microform]

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Publisher : National Library of Canada
ISBN 13 : 9780315384095
Total Pages : 332 pages
Book Rating : 4.3/5 (84 download)

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Book Synopsis Kac-Moody Algebras and the Virasoro Algebra [microform] by : Marc Albert Fabbri

Download or read book Kac-Moody Algebras and the Virasoro Algebra [microform] written by Marc Albert Fabbri and published by National Library of Canada. This book was released on 1986 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Kac-Moody and Virasoro Algebras

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (916 download)

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Book Synopsis Kac-Moody and Virasoro Algebras by :

Download or read book Kac-Moody and Virasoro Algebras written by and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Kac-Moody Lie Algebras and Related Topics

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821833375
Total Pages : 384 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Kac-Moody Lie Algebras and Related Topics by : Neelacanta Sthanumoorthy

Download or read book Kac-Moody Lie Algebras and Related Topics written by Neelacanta Sthanumoorthy and published by American Mathematical Soc.. This book was released on 2004 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the proceedings of the Ramanujan International Symposium on Kac-Moody Lie algebras and their applications. The symposium provided researchers in mathematics and physics with the opportunity to discuss new developments in this rapidly-growing area of research. The book contains several excellent articles with new and significant results. It is suitable for graduate students and researchers working in Kac-Moody Lie algebras, their applications, and related areas of research.

Infinite-Dimensional Lie Algebras

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Publisher : Cambridge University Press
ISBN 13 : 9780521466936
Total Pages : 428 pages
Book Rating : 4.4/5 (669 download)

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Book Synopsis Infinite-Dimensional Lie Algebras by : Victor G. Kac

Download or read book Infinite-Dimensional Lie Algebras written by Victor G. Kac and published by Cambridge University Press. This book was released on 1990 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third, substantially revised edition of a monograph concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie albegras, and their representations, based on courses given over a number of years at MIT and in Paris.

Some Generalized Kac-Moody Algebras with Known Root Multiplicities

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821828886
Total Pages : 137 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Some Generalized Kac-Moody Algebras with Known Root Multiplicities by : Peter Niemann

Download or read book Some Generalized Kac-Moody Algebras with Known Root Multiplicities written by Peter Niemann and published by American Mathematical Soc.. This book was released on 2002 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting from Borcherds' fake monster Lie algebra, this text construct a sequence of six generalized Kac-Moody algebras whose denominator formulas, root systems and all root multiplicities can be described explicitly. The root systems decompose space into convex holes, of finite and affine type, similar to the situation in the case of the Leech lattice. As a corollary, we obtain strong upper bounds for the root multiplicities of a number of hyperbolic Lie algebras, including $AE_3$.

Kac-Moody Groups, their Flag Varieties and Representation Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461201055
Total Pages : 613 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Kac-Moody Groups, their Flag Varieties and Representation Theory by : Shrawan Kumar

Download or read book Kac-Moody Groups, their Flag Varieties and Representation Theory written by Shrawan Kumar and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kac-Moody Lie algebras 9 were introduced in the mid-1960s independently by V. Kac and R. Moody, generalizing the finite-dimensional semisimple Lie alge bras which we refer to as the finite case. The theory has undergone tremendous developments in various directions and connections with diverse areas abound, including mathematical physics, so much so that this theory has become a stan dard tool in mathematics. A detailed treatment of the Lie algebra aspect of the theory can be found in V. Kac's book [Kac-90l This self-contained work treats the algebro-geometric and the topological aspects of Kac-Moody theory from scratch. The emphasis is on the study of the Kac-Moody groups 9 and their flag varieties XY, including their detailed construction, and their applications to the representation theory of g. In the finite case, 9 is nothing but a semisimple Y simply-connected algebraic group and X is the flag variety 9 /Py for a parabolic subgroup p y C g.

AdS/CFT, (Super-)Virasoro, Affine (Super-)Algebras

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110611406
Total Pages : 246 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis AdS/CFT, (Super-)Virasoro, Affine (Super-)Algebras by : Vladimir K. Dobrev

Download or read book AdS/CFT, (Super-)Virasoro, Affine (Super-)Algebras written by Vladimir K. Dobrev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-04-01 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: The De Gruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They can also serve as secondary reading for lectures and seminars at advanced levels.

Bosonic Construction of Vertex Operator Para-Algebras from Symplectic Affine Kac-Moody Algebras

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Publisher : American Mathematical Soc.
ISBN 13 : 0821808664
Total Pages : 121 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Bosonic Construction of Vertex Operator Para-Algebras from Symplectic Affine Kac-Moody Algebras by : Michael David Weiner

Download or read book Bosonic Construction of Vertex Operator Para-Algebras from Symplectic Affine Kac-Moody Algebras written by Michael David Weiner and published by American Mathematical Soc.. This book was released on 1998 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: Begins with the bosonic construction of four level -1/2 irreducible representations of the symplectic affine Kac-Moody Lie algebra Cl. The direct sum of two of these is given the structure of a vertex operator algebra (VOA), and the direct sum of the other two is given the structure of a twisted VOA-module. The dissertation includes the bosonic analog of the fermionic construction of a vertex operator superalgebra from the four level 1 irreducible modules of type Dl. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Kac-Moody Lie Algebras and Related Topics

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Publisher :
ISBN 13 : 9780821833377
Total Pages : 370 pages
Book Rating : 4.8/5 (333 download)

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Book Synopsis Kac-Moody Lie Algebras and Related Topics by : Sthanumoorthy, Neelacanta Sthanumoorthy

Download or read book Kac-Moody Lie Algebras and Related Topics written by Sthanumoorthy, Neelacanta Sthanumoorthy and published by . This book was released on 2004 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Kac-Moody and Virasoro Algebras

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (593 download)

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Book Synopsis Kac-Moody and Virasoro Algebras by : P. Goddard

Download or read book Kac-Moody and Virasoro Algebras written by P. Goddard and published by . This book was released on 1985 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Kac-Moody Algebras

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (115 download)

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Book Synopsis Introduction to Kac-Moody Algebras by : Wan Zhe-xian

Download or read book Introduction to Kac-Moody Algebras written by Wan Zhe-xian and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Canadiana

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Publisher :
ISBN 13 :
Total Pages : 1236 pages
Book Rating : 4.X/5 (3 download)

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Book Synopsis Canadiana by :

Download or read book Canadiana written by and published by . This book was released on 1989 with total page 1236 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Some Generalized Kac-Moody Algebras with Known Root Multiplicities

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Publisher :
ISBN 13 : 9781470403393
Total Pages : 119 pages
Book Rating : 4.4/5 (33 download)

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Book Synopsis Some Generalized Kac-Moody Algebras with Known Root Multiplicities by : Nanhua XI

Download or read book Some Generalized Kac-Moody Algebras with Known Root Multiplicities written by Nanhua XI and published by . This book was released on 2014-09-11 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction Generalized Kac-Moody algebras Modular forms Lattices and their Theta-functions The proof of Theorem 1.7 The real simple roots Hyperbolic Lie algebras Appendix A Appendix B Bibliography Notation

Physics Briefs

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Publisher :
ISBN 13 :
Total Pages : 1240 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Physics Briefs by :

Download or read book Physics Briefs written by and published by . This book was released on 1991 with total page 1240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Kac Algebras Arising from Composition of Subfactors: General Theory and Classification

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Publisher : American Mathematical Soc.
ISBN 13 : 0821829351
Total Pages : 215 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Kac Algebras Arising from Composition of Subfactors: General Theory and Classification by : Masaki Izumi

Download or read book Kac Algebras Arising from Composition of Subfactors: General Theory and Classification written by Masaki Izumi and published by American Mathematical Soc.. This book was released on 2002 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title deals with a map $\alpha$ from a finite group $G$ into the automorphism group $Aut({\mathcal L})$ of a factor ${\mathcal L}$ satisfying (i) $G=N \rtimes H$ is a semi-direct product, (ii) the induced map $g \in G \to [\alpha_g] \in Out({\mathcal L})=Aut({\mathcal L})/Int({\mathcal L})$ is an injective homomorphism, and (iii) the restrictions $\alpha \! \! \mid_N, \alpha \! \! \mid_H$ are genuine actions of the subgroups on the factor ${\mathcal L}$. The pair ${\mathcal M}={\mathcal L} \rtimes_{\alpha} H \supseteq {\mathcal N}={\mathcal L} DEGREES{\alpha\mid_N}$ (of the crossed product ${\mathcal L} \rtimes_{\alpha} H$ and the fixed-point algebra ${\mathcal L} DEGREES{\alpha\mid_N}$) gives an irreducible inclusion of factors with Jones index $\# G$. The inclusion ${\mathcal M} \supseteq {\mathcal N}$ is of depth $2$ and hence known to correspond to a Kac algebra of dim

Kac-Moody Algebras and Vertex Operators

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Publisher :
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.:/5 (34 download)

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Book Synopsis Kac-Moody Algebras and Vertex Operators by : Adrian Peter Casey

Download or read book Kac-Moody Algebras and Vertex Operators written by Adrian Peter Casey and published by . This book was released on 1986 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Generalized Kac-Moody Algebras and Their Relation to Free Lie Algebras

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Publisher :
ISBN 13 :
Total Pages : 194 pages
Book Rating : 4.:/5 (551 download)

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Book Synopsis Generalized Kac-Moody Algebras and Their Relation to Free Lie Algebras by : Elizabeth G. Jurisich

Download or read book Generalized Kac-Moody Algebras and Their Relation to Free Lie Algebras written by Elizabeth G. Jurisich and published by . This book was released on 1994 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: