Naslov
Vertex algebras and combinatorial identities

Autori
Primc, Mirko

Izvornik
Acta applicandae mathematicae (0167-8019) 73 (2002), 1-2; 221-238

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
vertex operator algebras; affine Lie algebras; Rogers-Ramanujan identities

Sažetak
In 1980's J. Lepowsky and R. Wilson gave a Lie-theoretic interpretation of Rogers-Ramanujan identities in terms of level 3 representations of affine Lie algebra sl(2, C)~. When applied to other representations and affine Lie algebras, Lepowsky-Wilson's approach yielded series of other combinatorial identities of Rogers-Ramanujan type. At about the same time R. Baxter rediscovered Rogers-Ramanujan identities in the context of statistical mechanics. The work of R. Baxter initiated another line of research which yielded numerous combinatorial and analytic generalizations of Rogers-Ramanujan identities. In this note I'll describe some ideas and results related to Lepowsky-Wilson's approach and indicate the connections with some results in combinatorics and statistical physics.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA