منابع مشابه
Domino tableaux, Schützenberger involution, and the symmetric group action
We define an action of the symmetric group S[ n 2 ] on the set of domino tableaux, and prove that the number of domino tableaux of weight β does not depend on the permutation of the weight β. A bijective proof of the well-known result due to J. Stembridge that the number of self–evacuating tableaux of a given shape and weight β = (β1, . . . , β[ n+1 2 ], β[ n2 ], . . . , β1), is equal to that o...
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We use Naito-Sagaki’s work [S. Naito & D. Sagaki, J. Algebra 245 (2001) 395–412, J. Algebra 251 (2002) 461–474] on LakshmibaiSeshadri paths fixed by diagram automorphisms to study the partitions fixed by Mullineux involution. We characterize the set of Mullineux-fixed partitions in terms of crystal graph of basic representations of twisted affine Lie algebras of type A (2) 2l and of type D (2) ...
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The Schützenberger product of monoids is a key tool for the algebraic treatment of language concatenation. In this paper we generalize the Schützenberger product to the level of monoids in an algebraic category D , leading to a uniform view of the corresponding constructions for monoids (Schützenberger), ordered monoids (Pin), idempotent semirings (Klíma and Polák) and algebras over a field (Re...
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Starting from Boolean algebras of languages closed under quotients and using duality theoretic insights, we derive the notion of Boolean spaces with internal monoids as recognisers for arbitrary formal languages of finite words over finite alphabets. This leads to recognisers and syntactic spaces equivalent to those proposed in [8], albeit in a setting that is well-suited for applying existing ...
متن کاملOn centralizers of prime rings with involution
Let $R$ be a ring with involution $*$. An additive mapping $T:Rto R$ is called a left(respectively right) centralizer if $T(xy)=T(x)y$ (respectively $T(xy)=xT(y)$) for all $x,yin R$. The purpose of this paper is to examine the commutativity of prime rings with involution satisfying certain identities involving left centralizers.
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2020
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2020.v27.n3.a9