壁符号Brauer代数的结构

Pub Date : 2016-12-23 DOI:10.5666/KMJ.2016.56.4.1047

B. Kethesan

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引用次数: 1

摘要

．本文研究了一类新的符号brauer代数的子代数，称为wall符号brauer代数，用-→D r,s (x)表示;r;引入s∈N, x为不定式。给出了壁符号Brauer代数的生成和关系。建立了带壁符号Brauer代数的胞性。最后，−→D r,s (x);是准遗传的，如果a (cid:12)域的特征，例如p;P = 0或P > Max (r;S)，或者x≤0，或者x≤0,r≤S:

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The Structure of Walled Signed Brauer Algebras

. In this paper, a new class of diagram algebras which are subalgebras of signed brauer algebras, called the Walled Signed Brauer algebras denoted by −→ D r,s ( x ) ; where r; s ∈ N and x is an indeterminate are introduced. A presentation of walled signed Brauer algebras in terms of generators and relations is given. The cellularity of a walled signed Brauer algebra is established. Finally, −→ D r,s ( x ) ; is quasi- hereditary if either the characteristic of a (cid:12)eld, say p; p = 0 or p > max ( r; s ) and either x ̸ = 0 or x = 0 and r ̸ = s:

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