Results 11 to 20 of about 812,891 (203)
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
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Images of multilinear polynomials on n × n upper triangular matrices over infinite fields [PDF]
Israel Journal of Mathematics, 2021 In this paper we prove that the image of multilinear polynomials evaluated on the algebra UT n ( K ) of n × n upper triangular matrices over an infinite field K equals J r , a power of its Jacobson ideal J = J ( UT n ( K )).
I. Gargate, Thiago Castilho de Mello
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Nakajima's quiver varieties and triangular bases of rank-2 cluster algebras [PDF]
Journal of Algebra, 2022 Berenstein and Zelevinsky introduced quantum cluster algebras [Adv. Math, 2005] and the triangular bases [IMRN, 2014]. The support conjecture by Lee-Li-Rupel-Zelevinsky [PNAS, 2014] asserts that the support of a triangular basis element for a rank-2 ...
Li Li
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A TRIANGULAR DEFORMATION OF THE TWO-DIMENSIONAL POINCARÉ ALGEBRA [PDF]
, 1995 Contracting the h-deformation of SL(2, ℝ), we construct a new deformation of two-dimensional Poincare's algebra, the algebra of functions on its group and its differential structure.
Mohammad Khorrami +3 more
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Group gradings on the Jordan algebra of upper triangular matrices [PDF]
, 2017 Let G be an arbitrary group and let K be a field of characteristic different from 2. We classify the G-gradings on the Jordan algebra UJ n of upper triangular matrices of order n over K.
P. Koshlukov, F. Yasumura
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Invariants of triangular Lie algebras [PDF]
Journal of Physics A: Mathematical and Theoretical, 2007 Triangular Lie algebras are the Lie algebras which can be faithfully represented by triangular matrices of any finite size over the real/complex number field. In the paper invariants ('generalized Casimir operators') are found for three classes of Lie algebras, namely those which are either strictly or non-strictly triangular, and for so-called special
Boyko, Vyacheslav M. +2 more
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Operators on triangular algebras
Linear Algebra and its Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Sumanth Datt +2 more
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The fundamental group of a triangular algebra without double bypasses [PDF]
, 2005 Let A be a basic connected finite dimensional algebra over a field of characteristic zero. A fundamental group depending on the presentation of A has been defined by several authors [see R. Martinez-Villa, J.A. de La Pena, The universal cover of a quiver
P. Meur
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Batched Triangular Dense Linear Algebra Kernels for Very Small Matrix Sizes on GPUs
ACM Transactions on Mathematical Software, 2019 Batched dense linear algebra kernels are becoming ubiquitous in scientific applications, ranging from tensor contractions in deep learning to data compression in hierarchical low-rank matrix approximation.
A. Charara, D. Keyes, H. Ltaief
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Triangular decomposition of semi-algebraic systems [PDF]
Journal of Symbolic Computation, 2010 8 pages, accepted by ISSAC ...
Changbo Chen +5 more
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