Results 21 to 30 of about 298 (62)
Enumeration of bigrassmannian permutations below a permutation in Bruhat order
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
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Shifted convolution and the Titchmarsh divisor problem over F_q[t] [PDF]
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
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Intertwining operators associated to the group
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
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
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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
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Conjugacy classes whose square is an infinite symmetric group
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
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
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
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Bilinear identities on Schur symmetric functions
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
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On the Hadamard product of Hopf monoids
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
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