Annihilating fields of standard modules of sl(2, C)- and combinatorial identities Arne Meurman, Mirko Primc. Memoirs of the American Mathematical Society 652.

Meurman, Arne:

ISBN 10: 0821809237 / ISBN 13: 9780821809235

Published by Providence, American Mathematical Society [1999]., 1999

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 17 MEU 9780821809235 Sprache: Englisch Gewicht in Gramm: 250.

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Bibliographic Details

• Title: Annihilating fields of standard modules of sl(2, C)- and combinatorial identities Arne Meurman, Mirko Primc. Memoirs of the American Mathematical Society 652.
• Publisher: Providence, American Mathematical Society [1999].
• Publication Date: 1999
• Language: English
• ISBN 10: 0821809237
• ISBN 13: 9780821809235
• Binding: Softcover
• Weight: 250 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

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. They determine the set of annihilating fields of level $k$ standard modules and study the corresponding loop $\tilde{\mathfrak g}$-module---the set of relations that defines standard modules. In the case when $\tilde{\mathfrak g}$ is of type $A^{(1)}_1$, they construct bases of standard modules parameterized by colored partitions, and as a consequence, obtain a series of Rogers-Ramanujan type combinatorial identities.