Results 21 to 30 of about 298 (62)

Enumeration of bigrassmannian permutations below a permutation in Bruhat order

open access: yes, 2010
In theory of Coxeter groups, bigrassmannian elements are well known as elements which have precisely one left descent and precisely one right descent.
A Björner   +5 more
core   +1 more source

Shifted convolution and the Titchmarsh divisor problem over F_q[t] [PDF]

open access: yes, 2015
In this paper we solve a function field analogue of classical problems in analytic number theory, concerning the auto-correlations of divisor functions, in the limit of a large finite field.Comment: 22 pages, updated ...
Bary-Soroker L   +6 more
core   +2 more sources

Intertwining operators associated to the group

open access: yes, 1995
For any finite reflection group G on an Euclidean space there is a parametrized commutative algebra of differential-difference operators with as many parameters as there are conjugacy classes of reflections in G.

semanticscholar   +1 more source

Group-theoretic Approach for Symbolic Tensor Manipulation: II. Dummy Indices

open access: yes, 2001
Computational Group Theory is applied to indexed objects (tensors, spinors, and so on) with dummy indices. There are two groups to consider: one describes the intrinsic symmetries of the object and the other describes the interchange of names of dummy ...
B. F. SVAITER   +2 more
core   +1 more source

Multiplicative Bases for the Centres of the Group Algebra and Iwahori-Hecke Algebra of the Symmetric Group

open access: yes, 2012
Let $\H_n$ be the Iwahori-Hecke algebra of the symmetric group $S_n$, and let $Z(\H_n)$ denote its centre. Let $B={b_1,b_2,...,b_t}$ be a basis for $Z(\H_n)$ over $R=\Z[q,q^{-1}]$. Then $B$ is called \emph{multiplicative} if, for every $i$ and $j$, there
Francis, Andrew, Jones, Lenny
core   +1 more source

Conjugacy classes whose square is an infinite symmetric group

open access: yes, 1989
Let X, be the set of all permutations 4 of an infinite set A of cardinality R, with the property: every permutation of A is a product of two conjugates of .
G. Moran
semanticscholar   +1 more source

Products of involution classes in infinite symmetric groups

open access: yes, 1988
Let A be an infinite set. Denote by SA the group of all permutations of A, and let Ri denote the class of involutions of A moving JAl elements and fixing i elements (0 3. Let INF denote the set of permutations in SA moving infinitely many elements.
G. Moran
semanticscholar   +1 more source

The partially alternating ternary sum in an associative dialgebra

open access: yes, 2010
The alternating ternary sum in an associative algebra, $abc - acb - bac + bca + cab - cba$, gives rise to the partially alternating ternary sum in an associative dialgebra with products $\dashv$ and $\vdash$ by making the argument $a$ the center of each ...
Bremner M   +21 more
core   +1 more source

Bilinear identities on Schur symmetric functions

open access: yes, 2010
A series of bilinear identities on the Schur symmetric functions is obtained with the use of Pluecker relations.Comment: Accepted to Journal of Nonlinear Mathematical Physics.
Fulmek M.   +6 more
core   +1 more source

On the Hadamard product of Hopf monoids

open access: yes, 2012
Combinatorial structures which compose and decompose give rise to Hopf monoids in Joyal's category of species. The Hadamard product of two Hopf monoids is another Hopf monoid. We prove two main results regarding freeness of Hadamard products.
Aguiar   +7 more
core   +2 more sources

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