The partition algebras P k (x) have been defined in Martin [Martin, P.(1990). Representations
of graph temperley Lieb algebras. Pupl. Res. Inst. Math. Sci. 26: 485–503] and Jones [Jones …

The Brauer algebras Bn (x) are finite dimensional algebras indexed by a positive integer n
and a complex number x. These algebras have a basis consisting of undirected diagrams d …

In this paper, it is proved that the distinguishing number for the action of S n→ on the set [2
n]={1, 2,…, 2 n} is one more than the n th term of the sequence “1, 2, 2, 3, 3, 3, 4,…(n …

In this article, it is proved that the distinguishing number for the action of A n→ on the set [2
n]={1, 2,…, 2 n} is the n th term of the sequence “1, 2, 3, 3, 4, 4, 4, 5,...(n appears n-1 times …

The Partition algebras\(P_k (x)\) have been defined in [M1] and [Jo]. We introduce a new
class of algebras for every group\(G\) called``Extended\(G\)-Vertex Colored Partition …

A class of subgroups of order 1, 2 2− 1 2!, 2 3− 1 3!,…, 2 ([n 2]− 1)[n 2]! of even permutations
is obtained for symmetric group S n using the set B→ n of signed Brauer diagrams …

The partition algebra P k (x) has been defined by Martin [Martin, P.(1990). Representations
of graph Temperley Lieb algebras. Pupl. Res. Inst. Math. Sci. 26: 485–503] and Jones …

In this paper we develop a Robinson Schensted algorithm for the hyperoctahedral group of
type $ B_n $ on partitions of $(\frac {1}{2} r (r+ 1)+ 2n) $ whose $2-$ core is $\delta_r …

Note on Signed Brauer's Algebras Page 1 Southeast Asian Bulletin of Mathematics (2004) 27:
883-898 Southeast Asian Bulletin of Mathematics ©SEAMS. 2004 Note on Signed Brauer's …

In this paper, we define the G-Brauer algebras $ D^ G_f (x) $, where G is a cyclic group,
called cyclic G-Brauer algebras, as the linear span of r-signed 1-factors and the generalized …