Results 11 to 20 of about 809,033 (313)
Triangular braidings and pointed Hopf algebras [PDF]
Journal of Pure and Applied Algebra, 2006 20 ...
Stefan Ufer
openalex +3 more sources
A Triangular Deformation of the two Dimensional Poincare Algebra [PDF]
, 1994 Contracting the $h$-deformation of $\SL(2,\Real)$, we construct a new deformation of two dimensional Poincar\'e algebra, the algebra of functions on its group and its differential structure.
Abolhassani, M. +3 more
core +2 more sources
Triangular Decomposition of the Composition Algebra of the Kronecker Algebra
Journal of Algebra, 1996 LetAbe a finite-dimensional hereditary algebra over a finite field, and let H (A) and C (A) be, respectively, the Ringel–Hall algebra and the composition algebra ofA.
Pu Zhang
semanticscholar +3 more sources
Triangularization of a Jordan algebra of Schatten operators [PDF]
Proceedings of the American Mathematical Society, 2008 We show that a Jordan algebra of compact quasinilpotent operators which contains a nonzero trace class operator has a common invariant subspace. As a consequence of this result, we obtain that a Jordan algebra of quasinilpotent Schatten operators is simultaneously triangularizable.
Matthew Kennedy
openalex +4 more sources
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.
Arkady Berenstein, Andrei Zelevinsky
openalex +5 more sources
Transposed Poisson structures on the Lie algebra of upper triangular matrices [PDF]
Portugaliae Mathematica, 2023 We describe transposed Poisson structures on the upper triangular matrix Lie algebra $T_n(F)$, $n>1$, over a field $F$ of characteristic zero. We prove that, for $n>2$, any such structure is either of Poisson type or the orthogonal sum of a fixed non ...
I. Kaygorodov, M. Khrypchenko
semanticscholar +1 more source
Graded polynomial identities for the Lie algebra of upper triangular matrices of order 3 [PDF]
Communications in Algebra, 2022 We compute the graded polynomial identities and its graded codimension sequence for the elementary gradings of the Lie algebra of upper triangular matrices of order 3.
F. Yasumura
semanticscholar +1 more source
Ternary mappings of triangular algebras [PDF]
Aequationes mathematicae, 2021 We take a categorical approach to describe ternary derivations and ternary automorphisms of triangular algebras. New classes of automorphisms and derivations of triangular algebras are also introduced and studied.
Martín-Barquero, Dolores +3 more
openaire +5 more sources
Images of multilinear graded polynomials on upper triangular matrix algebras [PDF]
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2022 In this paper, we study the images of multilinear graded polynomials on the graded algebra of upper triangular matrices $UT_n$ . For positive integers $q\leq n$ , we classify these images on $UT_{n}$ endowed with a particular elementary ${\mathbb {
P. Fagundes, P. Koshlukov
semanticscholar +1 more source