Results 41 to 50 of about 3,220,446 (374)
The J-invariant over splitting fields of Tits algebras [PDF]
arXiv, 2022 We describe the J-invariant of a semi-simple algebraic group G over a generic splitting field of a Tits algebra of G in terms of the J-invariant over a base field.
arxiv
Cohomology of simple modules for sl3(k) in characteristic 3 [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper we calculate cohomology of a classical Lie algebra of type A2 over an algebraically field k of characteristic p = 3 with coefficients in simple modules. To describe their structure we will consider them as modules over an algebraic
A.A. Ibrayeva
doaj +1 more source
Basis of the Identities of the Matrix Algebra of Order Two over a Field of Characteristic p ≠ 2☆
, 2001 In this paper we prove that the polynomial identities of the matrix algebra of order 2 over an infinite field of characteristic p ≠ 2 admit a finite basis.
P. Koshlukov
semanticscholar +1 more source
A Combinatorial Discussion on Finite Dimensional Leavitt Path Algebras [PDF]
, 2012 Any finite dimensional semisimple algebra A over a field K is isomorphic to a direct sum of finite dimensional full matrix rings over suitable division rings.
Esin, Songul +7 more
core +2 more sources
Quaternion algebras over global fields [PDF]
, 2021 To motivate the classification of quaternion algebras over \(\mathbb Q \), we consider by analogy a classification of quadratic fields. We restrict to the following class of quadratic fields for the best analogy.
openaire +3 more sources
基本弱Hopf代数和弱覆盖箭图(Basic weak Hopf algebra and weak covering quiver)
Zhejiang Daxue xuebao. Lixue ban, 2016 We introduce a finite-dimensional basic and split weak Hopf algebra H over an algebraically closed field k with strongly graded Jacobson radical r. We obtain some structures of a finite-dimensional basic and split semilattice graded weak Hopf algebra,and
AHMEDMunir(穆尼尔•艾哈迈德) +1 more
doaj +1 more source
ON NILALGEBRAS OVER INFINITE FIELD WITH SOLVABLE ASSOCIATED GROUP
Наука и техника, 2006 It is proved that if an associated group A* of a nilalgebra A over an infinite field is solvable of class n then algebra A is solvable of the same class n as the Lie algebra.
M. B. Smirnov
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A standard form in (some) free fields: How to construct minimal linear representations
Open Mathematics, 2020 We describe a standard form for the elements in the universal field of fractions of free associative algebras (over a commutative field). It is a special version of the normal form provided by Cohn and Reutenauer and enables the use of linear algebra ...
Schrempf Konrad
doaj +1 more source
Unicity for representations of the Kauffman bracket skein algebra [PDF]
Inventiones Mathematicae, 2017 This paper resolves the unicity conjecture of Bonahon and Wong for the Kauffman bracket skein algebras of all oriented finite type surfaces at all roots of unity.
C. Frohman +2 more
semanticscholar +1 more source
Embeddings of fields into simple algebras over global fields [PDF]
Asian Journal of Mathematics, 2014 Let $F$ be a global field, $A$ a central simple algebra over $F$ and $K$ a finite (separable or not) field extension of $F$ with degree $[K:F]$ dividing the degree of $A$ over $F$. An embedding of $K$ in $A$ over $F$ exists implies an embedding exists locally everywhere. In this paper we give detailed discussions when the converse (i.e.
Shih, Sheng-Chi +2 more
openaire +4 more sources