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Abstract: The standard modules for an affine Lie algebra g have natural subquotients called parafermionic spaces -- the underlying spaces for the so-called parafermionic conformal field theories associated with g: We study the case g = b sl(n + 1; C) for any positive integral level k 2: Generalizing the Z-algebra approach of Lepowsky, Wilson and Primc, we construct a combinatorial basis for the parafermionic spaces in terms of colored partitions. The parts of these partitions represent "Fourier... (Update)
Context of citations to this paper: More
...to give certain combinatorial interpretations of the multisum side of the generalized Rogers Ramanujan identities. Later Georgiev [Ge] and also Meurman and Primc ( MP1] MP2] MP3] and [P] related the sum sides of various generalized Rogers Ramanujan type expressions...
.... subspaces implies the existence of a similar basis for the corresponding parafermionic space (this issue will be addressed in part II [GeII]; Feigin and Stoyanovsky themselves were well aware of this close relationship between their considerations and the approach of Lepowsky,...
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BibTeX entry: (Update)
G. Georgiev, Combinatorial construction of modules for infinite-dimensional Lie algebras, I. Principal subspace, preprint Rutgers University, hep-th/9412054. http://citeseer.ist.psu.edu/georgiev95combinatorial.html More
@misc{ georgiev-combinatorial,
author = "G. Georgiev",
title = "Combinatorial construction of modules for infinite-dimensional Lie algebras",
text = "G. Georgiev, Combinatorial construction of modules for infinite-dimensional
Lie algebras, I. Principal subspace, preprint Rutgers University, hep-th/9412054.",
url = "citeseer.ist.psu.edu/georgiev95combinatorial.html" }
Citations (may not include all citations):141 Infinite-dimensional Lie algebras (context) - Kac - 1990
114 The theory of partitions (context) - Andrews - 1976
12 Generalized Vertex Algebras and Relative Vertex Operators (context) - Dong, Lepowsky - 1993
11 Spinons in Conformal Field Theory (context) - Bernard, Pasquier et al. - 1994
10 Dilogarithm identities (context) - Kirillov
8 Quasi-particles models for the representations of Lie algebr.. (context) - Feigin, Stoyanovsky - 1994
7 Continued fractions and fermionic representations for charac.. (context) - Berkovich, McCoy
7 Basic representations of affine Lie algebras and dual resona.. (context) - Frenkel, Kac
5 Spinon basis for higher level SU (context) - Bouwknegt, Ludwig et al. - 1994
4 Fractional statistics (context) - Haldane - 1991
3 Pure and Appl (context) - Frenkel, Lepowsky et al. - 1988
2 conformal field theory and q series (context) - Dasmahapatra, Kedem et al. - 1994
2 A bijection which implies Melzer's polynomial identities (context) - Foda, Warnaar
2 New conformal field theories associated with Lie algebras an.. (context) - Gepner - 1987
1 Fermionic quasi-particle representations for characters (context) - Kedem, Klassen et al.
1 Notes on highest weight modules of the elliptic algebra A q;.. (context) - Foda, Iohara et al.
1 Parafermionic constructions of modules for infinite - dimens.. (context) - Georgiev
1 Spinon basis for sl 2 ) k integrable highest weight modules .. (context) - Bouwknegt, Ludwig et al.
1 conformal field theory (context) - Iso, of
1 Fermionic sum representations for the Virasoro characters of.. (context) - Baver, Gepner
1 talk in the meeting of JMS at Ritsumeikan University (context) - Arakawa, Nakanishi et al. - 1995
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