Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Meurman, Arne"'
Publikováno v:
Journal of Algebra 660 (2024), 147-189
In this paper, we recall Lepowsky's and Wakimoto's product character formulas formulated in a new way by using arrays of specialized weighted crystals of negative roots for affine Lie algebras of type $C_l^{(1)}$, $D_{l+1}^{(2)}$ and $A_{2l}^{(2)}$.
Externí odkaz:
http://arxiv.org/abs/2403.05456
Autor:
Almkvist, Gert, Meurman, Arne
We show that a period polynomial introduced by the Lehmers coincides with a generalized Wilf polynomial.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/0901.2441
Autor:
Meurman, Arne, Primc, Mirko
We construct a basis of the basic $sl(3,C)\sptilde$-module parameterized by colored partitions and, as a consequence, we obtain a Rogers-Ramanujan type combinatorial identity.
Comment: 19 pages, AMS-TeX, minor grammatical changes to v1
Comment: 19 pages, AMS-TeX, minor grammatical changes to v1
Externí odkaz:
http://arxiv.org/abs/math/9812029
Autor:
Meurman, Arne, Primc, Mirko
Publikováno v:
Memoirs Amer. Math. Soc., No. 652, 1999
We show that a set of local admissible fields generates a vertex algebra. For an affine Lie algebra $\tilde\goth g$ we construct the corresponding level $k$ vertex operator algebra and we show that level $k$ highest weight $\tilde\goth g$-modules are
Externí odkaz:
http://arxiv.org/abs/math/9806105
Akademický článek
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Publikováno v:
Glasnik matematički
Volume 57
Issue 2
Volume 57
Issue 2
In this paper we conjecture combinatorial Rogers-Ramanujan type colored partition identities related to standard representations of the affine Lie algebra of type (C^{(1)}_ell), (ellgeq2), and we conjecture similar colored partition identities with
Autor:
Meurman, Arne, Primc, Mirko
J.~Lepowsky and R.~L.~Wilson initiated the approach to combinatorial Rogers-Ramanujan type identities via the vertex operator constructions of representations of affine Lie algebras. In this approach the first new combinatorial identities were discov
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=57a035e5b1ae::38b4212296ec34aae73d32197cadfd4d
https://www.bib.irb.hr/233661
https://www.bib.irb.hr/233661
Autor:
Meurman, Arne, Primc, Mirko
We show that a set of local admissible fields generates avertex algebra. For an affine Lie algebra $ ildegoth g$ we construct the corresponding level $k$ vertex operator algebra and we show that level $k$ highest weight $ ildegoth g$-modules are modu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=57a035e5b1ae::6d3a2d24eb109dddf78374fe5d0ee067
https://www.bib.irb.hr/3745
https://www.bib.irb.hr/3745
Autor:
Meurman, Arne, Primc, Mirko
Publikováno v:
Communications in Contemporary Mathematics; Nov2001, Vol. 3 Issue 4, p593, 22p