Перегляд за автором "Parvathi, M."

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  • Extended G-vertex colored partition algebras as centralizer algebras of symmetric groups 
    Parvathi, M.; Kennedy, A.J. (Algebra and Discrete Mathematics, 2005)
    The Partition algebras Pk(x) have been defined in [M1] and [Jo]. We introduce a new class of algebras for every group G called “Extended G-Vertex Colored Partition Algebras," denoted by Pbk(x,G), which contain partition ...
  • Gram matrices and Stirling numbers of a class of diagram algebras, I 
    N. Karimilla Bi; Parvathi, M. (Algebra and Discrete Mathematics, 2018)
    In this paper, we introduce Gram matrices for the signed partition algebras, the algebra of Z₂-relations and the partition algebras. The nondegeneracy and symmetic nature of these Gram matrices are establised. Also, (s₁, ...
  • Gram matrices and Stirling numbers of a class of diagram algebras, II 
    Karimilla Bi, N.; Parvathi, M. (Algebra and Discrete Mathematics, 2018)
    In the paper [6], we introduced Gram matrices for the signed partition algebras, the algebra of Z₂-relations and the partition algebras. (s₁, s₂, r₁, r₂, p₁, p₂)-Stirling numbers of the second kind are also introduced and ...
  • R-S correspondence for the Hyper-octahedral group of type Bn - A different approach 
    Parvathi, M.; Sivakumar, B.; Tamilselvi, A. (Algebra and Discrete Mathematics, 2007)
    In this paper we develop a Robinson Schensted algorithm for the hyperoctahedral group of type Bn on partitions of ( 1 2 r(r + 1) + 2n) whose 2−core is δr, r ≥ 0 where δr is the partition with parts (r, r−1, . . . , ...