Results 41 to 50 of about 205,098 (159)
Combinatorial Hopf algebra of supercharacters of type D [PDF]
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
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Perluasan Masalah Isoperimetrik pada Bangun Ruang
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
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Kraskiewicz-Pragacz modules and Pieri and dual Pieri rules for Schubert polynomials [PDF]
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
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Non-finitary Generalizations of Nil-triangular Subalgebras of Chevalley Algebras
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
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No-go theorems for r-matrices in symplectic geometry
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
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On Jordan triple (σ,τ)-higher derivation of triangular algebra
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
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On maximality of some solvable and locally nilpotent subalgebras of the Lie algebra $W_n(K)$
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
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Lie higher derivations of arbitrary triangular algebras [PDF]
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
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
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Quantum groups, Yang–Baxter maps and quasi-determinants
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
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