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Wednesday, May 13, 2020 | History

4 edition of Annihilating fields of standard modules of Sl(2, C) ãnd combinatorial identities found in the catalog.

# Annihilating fields of standard modules of Sl(2, C) ãnd combinatorial identities

## by Arne Meurman

• 311 Want to read
• 39 Currently reading

Published by American Mathematical Society in Providence, RI .
Written in English

Subjects:
• Kac-Moody algebras.,
• Combinatorial identities.

• Edition Notes

Classifications The Physical Object Statement Arne Meurman, Mirko Primc. Series Memoirs of the American Mathematical Society,, no. 652 Contributions Primc, Mirko. LC Classifications QA3 .A57 no. 652, QA252.3 .A57 no. 652 Pagination viii, 89 p. : Number of Pages 89 Open Library OL383204M ISBN 10 0821809237 LC Control Number 98045652

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### Annihilating fields of standard modules of Sl(2, C) ãnd combinatorial identities by Arne Meurman Download PDF EPUB FB2

Abstract: In this volume, the authors show that a set of local admissible fields generates a vertex algebra. For an affine Lie algebra $$\tilde{\mathfrak g}$$, they construct the corresponding level $$k$$ vertex operator algebra and show that level $$k$$ highest weight $$\tilde{\mathfrak g}$$-modules are modules for this vertex operator algebra.

Get this from a library. Annihilating fields of standard modules of Sl(2, C) ̃and combinatorial identities. [Arne Meurman; Mirko Primc]. Annihilating fields of standard modules of Sl(2, C) ãnd combinatorial identities / Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Arne Meurman; Mirko Primc.

[MP2], Annihilating fields of standard modules of sl(2, C)˜and combinatorial identities, Mem. Amer. Math. Soc. We determine the set of annihilating fields of level k standard Author: Julius Borcea.

Follow Arne Meurman and explore their bibliography from 's Arne Meurman Author Page. Arne Meurman (born April 6, ) is a Swedish mathematician working on finite groups and vertex operator tly he is a professor at Lund University. He is best known for constructing the monster vertex algebra together with Igor Frenkel and James Lepowsky.

He is interested in chess. Publications. Igor Frenkel, James Lepowsky, Arne Meurman, "Vertex operator algebras and the. obtained b y constructing certain combinatorial bas es of standard sl (2, C) e-mo dules. In b oth pap ers the s ta rting p o int is a PBW spanning set of a standard mo dule L (Λ) of level k Author: Mirko Primc.

Annihilating Fields of Standard Modules of sl(2, C)~ The book provides a unique “snapshot” of this growing area of study. It will be of interest to both experts and novices seeking information on the state of the research.

New Publications Offered by the AMS, and. Arne Meurman and Mirko Prime, Annihilating fields of standard modules of sl(2,C)~ and combinatorial identities, Lindsay N. Childs, Cornelius Greither, David J. Moss, Jim Sauerberg, and Karl Zimmermann, Hopf algebras, polynomial formal groups, and Raynaud orders, On certain principal subspaces of standard modules and vertex operator algebras (Corina Calinescu, Sept.

30, ): Recently, S. Capparelli, J. Lepowsky and A. Milas initiated a new approach of getting Rogers-Ramanujan-type recursions by studying the principal subspaces of the standard sl(2)^-modules.

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New Publications Offered by the AMS of the book is devoted to the representation theory of reduc-tive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, the Borel-Bott-Weil theorem and Weyl’s character formula, and Schubert schemes and line bundles on them.

In honor of Krishna Alladi, who has been a great inspiration, for the celebration of his 60th birthday. Kathrin Bringmann was supported by the Alfried Krupp Prize for Young University Teachers of the Krupp Foundation and the research leading to these results received funding from the European Research Council under the European Union’s Seventh Framework Programme (FP/) / ERC Grant Author: Kathrin Bringmann, Karl Mahlburg.

Annihilating Fields of Standard Modules of sl(2, C)^~ and Combinatorial Identities by Arne Meurman,Mirko Primc Summary. In this volume, the authors show that a set of local admissible fields generates a vertex algebra. Find out A section of a book usually medium in length Answers.

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An introduction to the Monster Frenkel, I., Lepowsky, J. & Arne Meurman,Workshop on unified string theories (Santa Barbara, Calif., ).

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Alladi, Refinements of Rogers–Ramanujan type identities, Special Functions, $$q$$-Series and Related Topics, vol. 14, Fields Institute Communications (), pp.

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