FINITE CONVERGENT PRESENTATIONS OF PLACTIC MONOIDS FOR SEMISIMPLE LIE ALGEBRAS

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By recalling in Section 6 certain realizations of su(2), su(1, 1) and ho in terms of difference and differential operators, we shall recognize in each case that X and Y become

In type A, the tower of algebras ( K [M (S n )]) n∈ N possesses long sought-after properties. Indeed, it is well-known that several combinatorial Hopf algebras arise as

Abstract We show that, for any cluster-tilted algebra of finite representation type over an algebraically closed field, the following three definitions of a maximal green sequence

In [N], Nakashima has used these descriptions coupled with the properties of crystal bases to obtain Littlewood-Richardson type rules for decomposing the tensor

the description of indécomposable projective functors, we give a classification of irreducible Harish-Chandra modules of the group Gc (Theorem 5.6).. Note that the

Theorem A follows from this together with a general result about homotopy fixed spaces (Theorem 2.4), which says that under certain conditions on a space X , two self

The rest of the paper is organized as follows. Section 2 presents the notations and definitions. Since [3] dealed only with single words, we adapt in Section 3 some of its notions