Results 11 to 20 of about 14,662,735 (117)

The Crossed Product of Finite Hopf C*-Algebra and C*-Algebra

, 2021
Let H be a finite Hopf C*-algebra and A a C*-algebra of finite dimension. In this paper, we focus on the crossed product A⋊H arising from the action of H on A, which is a ∗-algebra.
Lining Jiang, Xiaomin Wei, Dianlu Tian
core   +1 more source

Linear Algebra and Smarandache Linear Algebra [PDF]

, 2003
The present book, on Smarandache linear algebra, not only studies the Smarandache analogues of linear algebra and its applications, it also aims to bridge the need for new research topics pertaining to linear algebra, purely in the algebraic sense.
Vasantha, Kandasamy
core   +1 more source

The Weil algebra and the Van Est isomorphism [PDF]

, 2011
This paper belongs to a series of papers devoted to the study of the cohomology of classifying spaces. Generalizing the Weil algebra of a Lie algebra and Kalkman’s BRST model, here we introduce the Weil algebra W(A) associated to any Lie algebroid A.
Marius Crainic, Arias Abad, Camilo, Sub Algebra,Geometry&Mathem. Logic begr., Algebra & Geometry and Mathematical Locic, Crainic, M, Crainic, Marius, Camilo Arias Abad, Abad, C A, Arias Abad, C, Crainic, M.   +9 more
core   +1 more source

Perturbations of C*-algebraic invariants [PDF]

, 2010
Kadison and Kastler introduced a metric on the set of all C*-algebras on a fixed Hilbert space. In this paper structural properties of C*-algebras which are close in this metric are examined.
White, Stuart, Smith, Roger R., Sinclair, A., Smith, R.R., Roger R. Smith, White, S., Erik Christensen, Christensen, E., Christensen, Erik, Sinclair, Allan M., Allan Sinclair, Stuart White   +11 more
core   +1 more source

Nilpotent subspaces of maximal dimension in semisimple Lie algebras [PDF]

, 2006
We show that a linear subspace of a reductive Lie algebra g that consists of nilpotent elements has dimension at most equal to the number of positive roots, and that any nilpotent subspace attaining this upper bound is equal to the nilradical of a Borel ...
Kuttler, J, Kraft, Hanspeter, Kraft, H., Kuttler, J., Kuttler, Jochen, Kraft, H, Draisma, J., Draisma, J Jan, Draisma, Jan   +8 more
core   +1 more source

On the monotone $C^*$-algebra

, 2022
The concrete monotone $C^*$-algebra, that is the (unital) $C^*$-algebra generated by monotone independent algebraic random variables of Bernoulli type, is characterized abstractly in terms of generators and relations and is shown to be UHF. Moreover, its
Crismale, Vitonofrio, Stefano Rossi, Rossi, Stefano, Simone Del Vecchio, Del Vecchio, Simone, Vitonofrio Crismale   +5 more
core   +1 more source

Linear Algebra [PDF]

, 2012
Linear algebra occupies a central place in modern mathematics. Also, it is a beautiful and mature field of mathematics, and mathematicians have developed highly effective methods for solving its problems.

core   +2 more sources

Lie 2-algebra models [PDF]

, 2014
In this paper, we begin the study of zero-dimensional field theories with fields taking values in a semistrict Lie 2-algebra. These theories contain the IKKT matrix model and various M-brane related models as special cases.
Saemann, Christian; id_orcid, Christian Sämann, Ritter, Patricia, Patricia Ritter   +3 more
core   +1 more source

Homological Algebra for Superalgebras of Differentiable Functions

, 2012
This is the second in a series of papers laying the foundations for a differential graded approach to derived differential geometry (and other geometries in characteristic zero). In this paper, we extend the classical notion of a dg-algebra to define, in
Sub Algebra,Geometry&Mathem. Logic begr., Roytenberg, D., Carchedi, D.J.   +2 more
core   +1 more source

G-identities For The Lie Algebra Sl2(c)

, 2015
In this paper we study the G-identities for the Lie algebra sl2(C) over the complex field C. If sl2(C) is acted on faithfully by a finite group G then G is isomorphic to one of the following groups: Cn, Dn, A4, S4, A5.
Mattos Mortari A.D., Koshlukov P.
core   +2 more sources