Oscillator representations of quantum affine orthosymplectic superalgebras (Q6125784)

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scientific article; zbMATH DE number 7831313

Language	Label	Description	Also known as
English	Oscillator representations of quantum affine orthosymplectic superalgebras	scientific article; zbMATH DE number 7831313

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scholarly article

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Oscillator representations of quantum affine orthosymplectic superalgebras (English)

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Communications in Mathematical Physics

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publication date

11 April 2024

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full work available at URL

https://arxiv.org/abs/2304.06215

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MaRDI profile type

MaRDI publication profile

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Finite-dimensional representations of quantum affine algebras

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Crystal bases for the quantum superalgebra $U_q(\mathfrak {gl}(m,n))$

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Irreducible characters of general linear superalgebra and super duality

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Super duality and irreducible characters of ortho-symplectic Lie superalgebras

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Cluster algebras and quantum affine algebras

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Remarks on Classical Invariant Theory

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Stable branching rules for classical symmetric pairs

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Simplicity of heads and socles of tensor products

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On level-zero representation of quantized affine algebras.

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Laurent phenomenon and simple modules of quiver Hecke algebras

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Monoidal categorification and quantum affine algebras

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Categories over quantum affine algebras and monoidal categorification

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Commutation relations of vertex operators related with the spin representation of \(U_q(D_n^{(1)})\)

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Tetrahedron equation and quantum \(R\) matrices for \(q\)-oscillator representations of \(U_q(A^{(2)}_{2n})\), \(U_q(C^{(1)}_n)\) and \(U_q(D^{(2)}_{n+1})\)

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Tetrahedron equation and generalized quantum groups

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Super Duality for Quantum Affine Algebras of Type <i>A</i>

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Affinization of \(q\)-oscillator representations of \(U_q (\mathfrak{gl}_n)\)

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\(R\) matrix for generalized quantum group of type \(A\)

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Higher level \(q\)-oscillator representations for \(U_q(C_n^{(1)})\), \(U_q(C^{(2)}(n+1))\) and \(U_q(B^{(1)}(0,n))\)

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Symmetric pairs for quantized enveloping algebras

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Introduction to quantum groups

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Affinization of category $\mathcal {O}$ for quantum groups

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Crystal base and a generalization of the Littlewood-Richardson rule for the classical Lie algebras

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Quantum R matrices related to the spin representations of \(B_ n\) and \(D_ n\)

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Webs and $q$-Howe dualities in types $\mathbf {BCD}$

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DUALITY IN INFINITE DIMENSIONAL FOCK REPRESENTATIONS

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Quantized enveloping algebras associated with simple Lie superalgebras and their universal \(R\)-matrices

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On defining relations of affine Lie superalgebras and affine quantized universal enveloping superalgebras

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Identifiers

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10.1007/s00220-024-04961-4

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6125784

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