Results 41 to 50 of about 397,907 (160)
Connected Hopf Algebras of Dimension $p^2$
, 2013 Let $H$ be a finite-dimensional connected Hopf algebra over an algebraically closed field $\field$ of characteristic $p>0$. We provide the algebra structure of the associated graded Hopf algebra $\gr H$. Then, we study the case when $H$ is generated by a
Andruskiewitsch +15 more
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An elementary approach to the model structure on DG-Lie algebras [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2023 This paper contains an elementary proof of the existence of the classical model structure on the category of unbounded DG-Lie algebras over a field of characteristic zero, with an emphasis on the properties of free and semifree extensions, which are ...
Emma Lepri
doaj
On the polynomial identities of the algebra $M_{11}(E)$
, 2013 Verbally prime algebras are important in PI theory. They were described by Kemer over a field $K$ of characteristic zero: 0 and $K$ (the trivial ones), $M_n(K)$, $M_n(E)$, $M_{ab}(E)$.
Azevedo +23 more
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Gradings on Algebras over Algebraically Closed Fields [PDF]
, 2016 The classification, both up to isomorphism or up to equivalence, of the gradings on a finite dimensional nonassociative algebra A over an algebraically closed field F, such that its group scheme of automorphisms is smooth, is shown to be equivalent to the corresponding problem for the scalar extension A_K for any algebraically closed field extension K.
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SYMMETRIC ALGEBRAS OVER RINGS AND FIELDS [PDF]
Bulletin of the Australian Mathematical Society, 2013 AbstractConnections between annihilators and ideals in Frobenius and symmetric algebras are used to provide a new proof of a result of Nakayama on quotient algebras, and an application is given to central symmetric algebras.
Craven, Thomas, Smith, Tara
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Characters of algebraic groups over number fields
Groups, Geometry, and Dynamics, 2022 Let k be a number field, \mathbf{G} an algebraic group defined over k , and \mathbf{G}(k) the group of
Bekka, Bachir, Francini, Camille
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Gr\"obner-Shirshov bases for $L$-algebras
, 2010 In this paper, we firstly establish Composition-Diamond lemma for $\Omega$-algebras. We give a Gr\"{o}bner-Shirshov basis of the free $L$-algebra as a quotient algebra of a free $\Omega$-algebra, and then the normal form of the free $L$-algebra is ...
Bokut L. A. +5 more
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On degenerations of algebras over an arbitrary field
Advances in Group Theory and Applications, 2017 For each $n\ge2$ we classify all $n$-dimensional algebras over an arbitrary infinite field which have the property that the $n$-dimensional abelian Lie algebra is their only proper degeneration.
Nataliya M. Ivanova +1 more
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On lattice models of gapped phases with fusion category symmetries
Journal of High Energy Physics, 2022 We construct topological quantum field theories (TQFTs) and commuting projector Hamiltonians for any 1+1d gapped phases with non-anomalous fusion category symmetries, i.e. finite symmetries that admit SPT phases.
Kansei Inamura
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Noetherian algebras over algebraically closed fields
Journal of Algebra, 2007 Let $k$ be an uncountable algebraically closed field and let $A$ be a countably generated left Noetherian $k$-algebra. Then we show that $A \otimes_k K$ is left Noetherian for any field extension $K$ of $k$. We conclude that all subfields of the quotient division algebra of a countably generated left Noetherian domain over $k$ are finitely generated ...
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