Results 41 to 50 of about 205,098 (159)

Combinatorial Hopf algebra of supercharacters of type D [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2012
We provide a Hopf algebra structure on the supercharacter theory for the unipotent upper triangular group of type {D} over a finite field. Also, we make further comments with respect to types {B} and {C}. Type {A} was explored by M. Aguiar et. al (2010),
Carolina Benedetti
doaj   +1 more source

Perluasan Masalah Isoperimetrik pada Bangun Ruang

open access: yesJambura Journal of Mathematics, 2023
In this paper, several extensions of the isoperimetric problem in solid figures are explored, focusing on oblique and right prisms with rectangular, right-angled triangular, and regular hexagonal bases. The objective of this research is to find the prism
Andri Setiawan   +2 more
doaj   +1 more source

Kraskiewicz-Pragacz modules and Pieri and dual Pieri rules for Schubert polynomials [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2020
In their 1987 paper Kraskiewicz and Pragacz defined certain modules, which we call KP modules, over the upper triangular Lie algebra whose characters are Schubert polynomials.
Masaki Watanabe
doaj   +1 more source

Non-finitary Generalizations of Nil-triangular Subalgebras of Chevalley Algebras

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2019
Let $N\Phi(K)$ be a niltriangular subalgebra of Chevalley algebra over a field or ring $K$ associated with root system $\Phi$ of classical type. For type $A_{n-1}$ it is associated to algebra $NT(n,K)$ of (lower) nil-triangular $n \times n$- matrices ...
J. V. Bekker   +2 more
doaj   +1 more source

No-go theorems for r-matrices in symplectic geometry

open access: yesCommunications in Analysis and Mechanics
If a triangular Lie algebra acts on a smooth manifold, it induces a Poisson bracket on it. In case this Poisson structure is actually symplectic, we show that this already implies the existence of a flat connection on any vector bundle over the manifold ...
Jonas Schnitzer
doaj   +1 more source

On Jordan triple (σ,τ)-higher derivation of triangular algebra

open access: yesSpecial Matrices, 2018
Let R be a commutative ring with unity, A = Tri(A,M,B) be a triangular algebra consisting of unital algebras A,B and (A,B)-bimodule M which is faithful as a left A-module and also as a right B-module.
Ashraf Mohammad   +2 more
doaj   +1 more source

On maximality of some solvable and locally nilpotent subalgebras of the Lie algebra $W_n(K)$

open access: yesResearches in Mathematics, 2023
Let $K$ be an algebraically closed field of characteristic zero, $P_n=K[x_1,\ldots ,x_n]$ the polynomial ring, and $W_n(K)$ the Lie algebra of all $K$-derivations on $P_n$.
D.I. Efimov, M.S. Sydorov, K.Ya. Sysak
doaj   +1 more source

Lie higher derivations of arbitrary triangular algebras [PDF]

open access: yesarXiv, 2021
Motivated by the works of Wang [Y. Wang, \textit{Lie (Jordan) derivations of arbitrary triangular algebras,} Aequationes Mathematicae, \textbf{93} (2019), 1221-1229] and Moafian et al. [F. Moafian and H. R. Ebrahimi Vishki, \textit{Lie higher derivations on triangular algebras revisited,} Filomat, \textbf{30}(12) (2016), 3187-3194.], we shall study Lie
arxiv  

Hochschild Cohomology of Triangular Matrix Algebras

open access: yesJournal of Algebra, 2000
AbstractWe study the Hochschild cohomology of triangular matrix rings B=R0AMRA , where A and R are finite dimensional algebras over an algebraically closed field K and M is an A-R-bimodule. We prove the existence of two long exact sequences of K-vector spaces relating the Hochschild cohomology of A, R, and B.
Michelena, Sandra, Platzeck, Maria Ines
openaire   +3 more sources

Quantum groups, Yang–Baxter maps and quasi-determinants

open access: yesNuclear Physics B, 2018
For any quasi-triangular Hopf algebra, there exists the universal R-matrix, which satisfies the Yang–Baxter equation. It is known that the adjoint action of the universal R-matrix on the elements of the tensor square of the algebra constitutes a quantum ...
Zengo Tsuboi
doaj   +1 more source

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