منابع مشابه
Gelfand Models for Diagram Algebras : extended abstract
A Gelfand model for a semisimple algebra A over C is a complex linear representation that contains each irreducible representation of A with multiplicity exactly one. We give a method of constructing these models that works uniformly for a large class of combinatorial diagram algebras including: the partition, Brauer, rook monoid, rook-Brauer, Temperley-Lieb, Motzkin, and planar rook monoid alg...
متن کاملCombinatorial Gelfand Models for Semisimple Diagram Algebras
We construct combinatorial (involutory) Gelfand models for the following diagram algebras in the case when they are semi-simple: Brauer algebras, their partial analogues, walled Brauer algebras, their partial analogues, Temperley-Lieb algebras, their partial analogues, walled Temperley-Lieb algebras, their partial analogues, partition algebras and their Temperley-Lieb analogues.
متن کاملReal Gelfand–mazur Algebras
Several classes of real Gelfand–Mazur algebras are described. Conditions, when the trace M∩B of a closed maximal left (right) idealM of a real topological algebra A would be a maximal ideal in a subalgebra B of the center of A are given.
متن کاملOn the Bernstein-Gelfand-Gelfand resolution for Kac-Moody algebras and quantized enveloping algebras
A Bernstein-Gelfand-Gelfand resolution for arbitrary Kac-Moody algebras and arbitrary subsets of the set of simple roots is proven. Moreover, quantum group analogs of the Bernstein-Gelfand-Gelfand resolution for symmetrizable Kac-Moody algebras are established. For quantized enveloping algebras with fixed deformation parameter q ∈ C \ {0} exactness is proven for all q which are not a root of un...
متن کاملConstructive Gelfand Duality for C*-algebras
We present a constructive proof of Gelfand duality for C*-algebras by reducing the problem to Gelfand duality for real C*-algebras.
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ژورنال
عنوان ژورنال: Journal of Algebraic Combinatorics
سال: 2014
ISSN: 0925-9899,1572-9192
DOI: 10.1007/s10801-014-0534-5