School of Mathematics and Statistics - Research Publications

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http://hdl.handle.net/11343/294

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Now showing 1 - 9 of 9

Affine Braids, Markov traces and the category O

Orellana, ; RAM, A (American Mathematical Society, 2007)
COMMUTING FAMILIES IN HECKE AND TEMPERLEY-LIEB ALGEBRAS

Halverson, T ; Mazzocco, M ; Ram, A (NAGOYA UNIV, 2009-09-01)

Abstract We define analogs of the Jucys-Murphy elements for the affine Temperley-Lieb algebra and give their explicit expansion in terms of the basis of planar Brauer diagrams. These Jucys-Murphy elements are a family of commuting elements in the affine Temperley-Lieb algebra, and we compute their eigenvalues on the generic irreducible representations. We show that they come from Jucys-Murphy elements in the affine Hecke algebra of type A, which in turn come from the Casimir element of the quantum group . We also give the explicit specializations of these results to the finite Temperley-Lieb algebra.
Homogeneous representations of Khovanov-Lauda algebras

Kleshchev, A ; Ram, A (EUROPEAN MATHEMATICAL SOC, 2010-01-01)
Combinatorics in affine flag varieties

Parkinson, J ; Ram, A ; Schwer, C (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2009-06-01)
Partition algebras

Halverson, T ; Ram, A (ACADEMIC PRESS LTD ELSEVIER SCIENCE LTD, 2005-08-01)
Alcove walks, Hecke algebras, spherical functions, crystals and column strict tableaux

RAM, A. ( 2006)
Affine Hecke algebras and generalized standard Young tableaux

Ram, A (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2003-02-01)
Affine hecke algebras and the Schubert calculus

Griffeth, S ; Ram, A (ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD, 2004-11-01)
Classification of graded Hecke algebras for complex reflection groups

Ram, A ; Shepler, AV (BIRKHAUSER VERLAG AG, 2003-01-01)