Results 61 to 70 of about 886,706 (230)

Quantum groups, Yang–Baxter maps and quasi-determinants

Nuclear 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
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n-Expansively super-homogeneous and ( n , k ) $(n,k)$ -contractively sub-homogeneous fuzzy control functions and stability results with numerical examples

Advances in Difference Equations, 2021
We consider fuzzy sets and generalized triangular norms on positive elements of order commutative C ∗ $C^{*}$ -algebras to study the concept of C ∗ $C^{*}$ -algebra valued normed algebras with uncertainty.
Reza Saadati, Choonkil Park, Donal O’Regan, Sorin Nadaban   +3 more
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Triangular matrix algebras over quasi-hereditary algebras

Tsukuba Journal of Mathematics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Derivations and the first cohomology group of trivial extension algebras

, 2017
In this paper we investigate in details derivations on trivial extension algebras. We obtain generalizations of both known results on derivations on triangular matrix algebras and a known result on first cohomology group of trivial extension algebras. As
Bennis, Driss, Fahid, Brahim
core   +1 more source

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

Researches 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

Graded triangular algebras

The Electronic Journal of Linear Algebra, 2014
The structure of graded triangular algebras T of arbitrary dimension are studied in this paper. This is motivated in part for the important role that triangular algebras play in the study of oriented graphs, upper triangular matrix algebras or nest algebras.
openaire   +1 more source

Twisted Classical Poincar\'{e} Algebras

, 1993
We consider the twisting of Hopf structure for classical enveloping algebra $U(\hat{g})$, where $\hat{g}$ is the inhomogenous rotations algebra, with explicite formulae given for $D=4$ Poincar\'{e} algebra $(\hat{g}={\cal P}_4).$ The comultiplications of
A Nowicki, Chaichian M, de Azcaraga J A, Drinfeld V G, Drinfeld V G, Enriquez B, Faddeev L, Gurevich G, H Ruegg, J Lukierski, Kempf A, Khoroshkin S M, Khoroshkin S M, Levendorskii S, Podles P, Rembielinski J, Reshetikhin N, V N Tolstoy, Wightman A S, Wigner E P, Woronowicz S L   +20 more
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Algebras of right ample semigroups

Open Mathematics, 2018
Strict RA semigroups are common generalizations of ample semigroups and inverse semigroups. The aim of this paper is to study algebras of strict RA semigroups.
Guo Junying, Guo Xiaojiang
doaj   +1 more source

Triangular UHF algebras

Journal of Functional Analysis, 1990
AbstractIn this paper we classify triangular UHF algebras. The generic triangular UHF algebra is constructed as follows. Let (pn) be any sequence of positive integers such that pm|pn whenever m ⩽ n. For each n let Tpn be the algebra of all pn × pn upper triangular complex matrices, and for m ⩽ n, let σpn·pm: Tpm → Tpn be the mapping, x↦1d⊗x, where d ...
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Triangular Bases in Quantum Cluster Algebras [PDF]

International Mathematics Research Notices, 2012
A lot of recent activity has been directed towards various constructions of "natural" bases in cluster algebras. We develop a new approach to this problem which is close in spirit to Lusztig's construction of a canonical basis, and the pioneering construction of the Kazhdan-Lusztig basis in a Hecke algebra.
Berenstein, Arkady, Zelevinsky, Andrei
openaire   +2 more sources