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Finite-Dimensional Representations of Hyper Loop Algebras over Non-algebraically Closed Fields
(SpringerDordrechtHolanda, 2010)
POLYNOMIAL IDENTITIES OF FINITE DIMENSIONAL SIMPLE ALGEBRAS
(TAYLOR & FRANCIS INC, 2011)
Let F be an algebraically closed field and let A and B be arbitrary finite dimensional simple algebras over F. We prove that A and B are isomorphic if and only if they satisfy the same identities.
Álgebras derivadamente mansas com três módulos simples
(Universidade Federal de Minas GeraisUFMG, 2016-11-28)
Given a finite-dimensional algebra it belongs to one of the following classes: derived tame or derived wild algebras. In this thesis our aim is to determine which finite dimensional K-algebras with three simple modules are ...
Finite-Dimensional Pointed Hopf Algebras Over Finite Simple Groups of Lie Type IV: Unipotent Classes in Chevalley and Steinberg Groups
(Springer, 2020-06-14)
We show that all unipotent classes in finite simple Chevalley or Steinberg groups, different from PSLn(q) and PSp2n(q), collapse (i.e. are never the support of a finite-dimensional Nichols algebra), with a possible exception ...
Quantum function algebras from finite-dimensional Nichols algebras
(European Mathematical Society, 2020-10)
We describe how to find quantum determinants and antipode formulas from braidedvector spaces using the FRT-construction and finite-dimensional Nichols algebras. It improvesthe construction of quantum function algebras using ...
Homological Ideals of Finite Dimensional Algebras
(CIMAT, 2017)