Zobrazeno 1 - 10
of 84
pro vyhledávání: '"Blob algebras"'
Autor:
Maturana, Diego Lobos
We study the structure of the Gelfand-Tsetlin subalgebras of a family of idempotent truncations of the generalized blob algebras. We obtain optimal presentations in terms of generators and relations, monomial basis and dimension formula.
Comment
Comment
Externí odkaz:
http://arxiv.org/abs/2203.15139
Publikováno v:
In Journal of Pure and Applied Algebra July 2020 224(7)
Autor:
Lobos, Diego, Ryom-Hansen, Steen
We give a concrete construction of a graded cellular basis for the generalized blob algebra B_n introduced by Martin and Woodcock. The construction uses the isomorphism between KLR-algebras and cyclotomic Hecke algebras, proved by Brundan-Kleshchev a
Externí odkaz:
http://arxiv.org/abs/1812.11143
Autor:
Martin, P P, Ryom-Hansen, S
We construct a representation of the blob algebra over a ring allowing base change to every interesting (i.e. non--semisimple) specialisation which, in quasihereditary specialisations, passes to a full tilting module.
Comment: 22 pages, latex
Comment: 22 pages, latex
Externí odkaz:
http://arxiv.org/abs/math/0210063
Autor:
Martin, Paul P, Woodcock, David
This article develops an alcove geometric approach to the representation theory of certain affine Hecke algebra quotients generalizing the blob algebra; and gives an exposition of some new representations of these algebras.
Comment: 45 pages, mu
Comment: 45 pages, mu
Externí odkaz:
http://arxiv.org/abs/math/0205263
Autor:
Petit, Philippe
Les algèbres de Temperley–Lieb de type B, aussi appelées algèbres de Temperley–Lieb à une frontière, sont une famille d’algèbres associatives unitaires de dimension finie généralisant les algèbres de Temperley–Lieb. Elles ont été i
Publikováno v:
Journal of Pure and Applied Algebra. 224:106277
We give a concrete construction of a graded cellular basis for the generalized blob algebra B n introduced by Martin and Woodcock. The construction uses the isomorphism between KLR-algebras and cyclotomic Hecke algebras, proved by Brundan-Kleshchev a
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Autor:
S. Ryom-Hansen, Paul Martin
Publikováno v:
Proceedings of the London Mathematical Society. 89:655-675
In this paper we construct a representation of the blob algebra [22] over a ring allowing base change to every interesting (i.e. non–semisimple) specialisation which, in quasihereditary specialisations, passes to a full tilting module. The Temperle
Autor:
David Woodcock, Paul Martin
Publikováno v:
LMS Journal of Computation and Mathematics. 6:249-296
A sequence of finite-dimensional quotients of affine Hecke algebras is studied. Each element of the sequence is constructed so as to have a weight space labelling scheme for Specht⁄standard modules. As in the weight space formalism of algebraic Lie