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~ The important use of Frobenius–Schur indicators and Frobenius-Schur exponents ~

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#abstract-algebra #group-theory #category-theory #representation-theory #quantum-groups
33
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Questions about root operators.

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#representation-theory #quantum-groups
104
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How to show that $\mathcal{O}_q[U]$ is isomorphic to $U_q(\mathfrak{n})$?

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#representation-theory #lie-algebras #algebraic-groups #quantum-groups
199
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What is the explicit formula for classical r-matrices?

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#representation-theory #lie-algebras #mathematical-physics #quantum-groups
150
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Connections of Finite groups and quantum groups

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#finite-groups #operator-algebras #duality-theorems #quantum-groups #monoidal-categories
71
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An alternative proof for the units of $U_q(\mathfrak{sl}_2)$ using Ore extensions.

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#abstract-algebra #lie-algebras #quantum-groups
159
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What is $\Delta(1)$ for $1$ in $U(\mathfrak{g})$?

Published on
#lie-algebras #quantum-groups #hopf-algebras
494
Views

Poisson bivector on the product of two manifolds

Published on
#differential-geometry #smooth-manifolds #quantum-groups #poisson-geometry
800
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About the quantum plane.

Published on
#abstract-algebra #noncommutative-algebra #quantum-groups
57
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Studying quantized algebras, why introduce $q^{1/2}$ instead of just $q$?

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#representation-theory #quantum-groups #q-analogs #quantum-calculus
83
Views

Studying quantized algebras, what motivates the choice of base ring?

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#representation-theory #quantum-groups #quantum-calculus
93
Views

Why is $q$ sometimes a complex number, but other times a prime power?

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#representation-theory #quantum-groups #q-analogs #quantum-calculus
162
Views

PBW basis for quantum groups and braid group action

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#abstract-algebra #representation-theory #lie-algebras #quantum-groups
260
Views

What is the group of group-like elements of a quantum group?

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#lie-groups #lie-algebras #hopf-algebras #quantum-groups
53
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Generalization of the concept of homogeneous element

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#abstract-algebra #representation-theory #hopf-algebras #quantum-groups

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