arXiv Analytics

Sign in

arXiv:math/0410592 [math.CO]AbstractReferencesReviewsResources

Hall--Littlewood functions and the A_2 Rogers--Ramanujan identities

S. Ole Warnaar

Published 2004-10-28, updated 2005-06-17Version 2

We prove an identity for Hall--Littlewood symmetric functions labelled by the Lie algebra A_2. Through specialization this yields a simple proof of the A_2 Rogers--Ramanujan identities of Andrews, Schilling and the author.

Comments: 25 pages, typos corrected
Journal: Adv. Math. 200 (2006), 403-434
Categories: math.CO, math.QA
Subjects: 05E05, 05A17, 05A19
Related articles: Most relevant | Search more
arXiv:1001.1571 [math.CO] (Published 2010-01-11, updated 2010-01-22)
Dedekind's eta-function and Rogers-Ramanujan identities
arXiv:math/0108193 [math.CO] (Published 2001-08-28, updated 2002-08-26)
Partial-sum analogues of the Rogers-Ramanujan identities
arXiv:1201.1404 [math.CO] (Published 2012-01-06)
Skew Pieri Rules for Hall-Littlewood Functions