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A Drinfeld-Type Presentation of the Orthosymplectic Yangians
We use the Gauss decomposition of the generator matrix in the R -matrix presentation of the Yangian for the orthosymplectic Lie superalgebra
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Combinatorial Aspects of An Odd Linkage Property for General Linear Supergroups
Let G = GL( m | n ) be a general linear supergroup, and G e v be its even subsupergroup isomorphic to GL( m ) ×GL( n ). In this paper, we use the explicit...
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A class of fermionic Novikov superalgebras which is a class of Novikov superalgebras
We construct a special class of fermionic Novikov superalgebras from linear functions. We show that they are Novikov superalgebras. Then we give a...
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Quadratic Lie Superalgebras Generalized by Balinsky–Novikov Superalgebras
Balinsky–Novikov superalgebras were introduced by Balinsky for constructing super-Vira-soro type Lie superalgebras. In this paper, we give sufficient...
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Ribbon Hopf Superalgebras and Drinfel’d Double
Finite dimensional ribbon Hopf (super) algebras play an important role in constructing invariants of 3-manifolds. In the present paper, the authors...
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The BLM realization for the integral form of Uv(glm|n)
In this paper, we embed the integral form of the quantum supergroup U v (gl m|n ) to the product of a family of integral quantum Schur superalgebras. We...
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The Center of Dist (GL(m|n)) in Positive Characteristic
The purpose of this paper is to investigate central elements in distribution algebras D i s t ( G ) of general linear supergroups G = G ...
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Twisted Frobenius Extensions of Graded Superrings
We define twisted Frobenius extensions of graded superrings. We develop equivalent definitions in terms of bimodule isomorphisms, trace maps,...
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Cohomology of Hom-Lie superalgebras and q-deformed Witt superalgebra
Hom-Lie algebra (superalgebra) structure appeared naturally in q -deformations, based on σ -derivations of Witt and Virasoro algebras (superalgebras)....
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Line Integration of Dirac Operators Over Octonions and Cayley-Dickson Algebras
Non-commutative line integration of Dirac operators over octonions and Cayley-Dickson algebras is investigated.
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Lectures on Lie Algebras
This is a lecture course for beginners on representation theory of semisimple finite dimensional Lie algebras. It is shown how to use infinite...
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Novikov superalgebras with A 0 = A 1 A 1
Novikov superalgebras are related to quadratic conformal superalgebras which correspond to the Hamiltonian pairs and play a fundamental role in...
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Hopf superquivers
In this paper, a super version of the Hopf quiver theory is developed. The notion of Hopf superquivers is introduced. It is shown that only the path...
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Donkin–Koppinen Filtration for General Linear Supergroups
We consider a generalization of Donkin–Koppinen filtrations for coordinate superalgebras of general linear supergroups. More precisely, if G = GL ( m | n )...
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On ε-derivations and local ε-derivations
In this paper, we describe ε -derivations in certain graded algebras by their actions on elements satisfying some special conditions. One of the main...
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Schur Superalgebras in Characteristic p
The structure of a Schur superalgebra S = S (1 ∣ 1, r ) in odd characteristic p is completely determined. The algebra S is semisimple if and only if p ...