Quantum $sl(2)$ action on a divided-power quantum plane at even roots of unity (Q2276463)

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English	Quantum $sl(2)$ action on a divided-power quantum plane at even roots of unity	scientific article

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title

Quantum $sl(2)$ action on a divided-power quantum plane at even roots of unity (English)

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author

A. M. Semikhatov

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published in

Theoretical and Mathematical Physics

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publication date

5 November 2012

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full work available at URL

https://arxiv.org/abs/0901.1478

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zbMATH Keywords

quantum plane

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divided power

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Lusztig quantum group

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indecomposable representation

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MaRDI profile type

MaRDI publication profile

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cites work

Q3998175

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Notes on quantum groups and quantum de Rham complexes

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Algebraic aspects of the quantum Yang-Baxter equation

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Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center

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Kazhdan-Lusztig correspondence for the representation category of the triplet $W$-algebra in logarithmic CFT

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Logarithmic extensions of minimal models: characters and modular transformations

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Kazhdan-Lusztig-dual quantum group for logarithimic extensions of Virasoro minimal models

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Lattice construction of logarithmic modules for certain vertex algebras

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Q3118330

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Factorizable ribbon quantum groups in logarithmic conformal field theories

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A generalization of the Verlinde formula in logarithmic conformal field theory

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A differential ${\mathcal U}$-module algebra for ${\mathcal U}= \overline{\mathcal U}_{q}s\ell (2)$ at an even root of unity

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Lusztig limit of quantum $s\ell (2)$ at root of unity and fusion of (1,p) Virasoro logarithmic minimal models

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A Heisenberg double addition to the logarithmic Kazhdan-Lusztig duality.

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Modules over $\mathfrak U_ q(\mathfrak s\mathfrak l_ 2)$

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Finite Dimensional Representations of Ut(sl (2)) at Roots of Unity

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Zero modes' fusion ring and braid group representations for the extended chiral su(2) WZNW model

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A construction of symmetric linear functions on the restricted quantum group $\overline U_q(sl_2)$.

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Representation theory of the Drinfeld doubles of a family of Hopf algebras.

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Indecomposable decomposition of tensor products of modules over the restricted quantum universal enveloping algebra associated to $\mathfrak{sl}_2$

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On the finite-dimensional quantum group $M_3\oplus (M_{2\mid 1}(\Lambda^2))_0$

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A FINITE QUANTUM SYMMETRY OF $M(3, {\Bbb C})$

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DIFFERENTIAL CALCULUS AND CONNECTIONS ON A QUANTUM PLANE AT A CUBIC ROOT OF UNITY

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AN ALGEBRAIC APPROACH TO LOGARITHMIC CONFORMAL FIELD THEORY

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Nonsemisimple fusion algebras and the Verlinde formula

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Nonmeromorphic operator product expansion andC2-cofiniteness for a family of -algebras

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Virasoro representations and fusion for general augmented minimal models

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On the triplet vertex algebra $\mathcal W(p)$

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Quantum groups at roots of 1

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Introduction to quantum groups

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Quantum divided power algebra, $q$-derivatives, and some new quantum groups

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Identifiers

zbMATH Open document ID

1256.81066

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DOI

10.1007/s11232-010-0068-5

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:2276463

Quantum \(sl(2)\) action on a divided-power quantum plane at even roots of unity (Q2276463)

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Mathematics(1 entry)