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Letters in Mathematical Physics, 1993
A Yangian \(Y\) is a deformation, in the category of Hopf algebras, of the universal enveloping algebra \(U\) of the Lie algebra of polynomial maps \(\mathbb{C}\to {\mathfrak g}\), where \({\mathfrak g}\) is a finite-dimensional complex simple Lie algebra.
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A Yangian \(Y\) is a deformation, in the category of Hopf algebras, of the universal enveloping algebra \(U\) of the Lie algebra of polynomial maps \(\mathbb{C}\to {\mathfrak g}\), where \({\mathfrak g}\) is a finite-dimensional complex simple Lie algebra.
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PBW: the Project and the Colloquium
2007This chapter discusses the ‘Prosopography of the Byzantine World’ (PBW), which appears in many pages of this book. It is a British Academy project that is largely funded by the Arts and Humanities Research Council (AHRC). The chapter also introduces the concept of prosopography, and mentions several conclusions that PBW drew from the papers and from ...
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International Journal of Mathematics, 2016
Doty and Giaquinto constructed a certain set denoted by [Formula: see text] in this paper, and conjectured that the set [Formula: see text] forms a [Formula: see text]-basis for the integral [Formula: see text]-Schur algebra [Formula: see text], where [Formula: see text]. In this paper, we show that the set [Formula: see text] is a [Formula: see text]-
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Doty and Giaquinto constructed a certain set denoted by [Formula: see text] in this paper, and conjectured that the set [Formula: see text] forms a [Formula: see text]-basis for the integral [Formula: see text]-Schur algebra [Formula: see text], where [Formula: see text]. In this paper, we show that the set [Formula: see text] is a [Formula: see text]-
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Skew PBW monads and representations
1995Let R be an associative ring, θ a map from some set G to the group Aut(R) of automorphisms of the ring R such that the image of θ is a semigroup in Aut(R). A skew PBW (Poincare-Birkhoff-Witt) ring related to the map θ is an associative ring R{θ,ξ} which contains R as a subring and is a free right R-module with a basis {x s | s ∈ G} such that rx s = θ s
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PBW-Pairs of Varieties of Linear Algebras
Communications in Algebra, 2014Alexander Alexandrovich Mikhalev +1 more
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d-Hermite rings and skew PBW\textit{PBW} extensions
Sao Paulo Journal of Mathematical Sciences, 2015Oswaldo Lezama
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Some Homological Properties of Skew PBW Extensions
Communications in Algebra, 2014Oswaldo Lezama, Armando Reyes
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