Irreducible representations of finite quandles with trivial-Schur-multiplier inner automorphism groups are constructed from quandle characters and linear irreps of Inn(Q).
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2026 2verdicts
UNVERDICTED 2representative citing papers
Finite-dimensional representations of finite quandles over ℂ decompose into irreducibles iff image elements are diagonalizable, and irreducibles are unitary for some inner product iff determinants have modulus 1.
citing papers explorer
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On irreducible representations of quandles
Irreducible representations of finite quandles with trivial-Schur-multiplier inner automorphism groups are constructed from quandle characters and linear irreps of Inn(Q).
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On quandle representations
Finite-dimensional representations of finite quandles over ℂ decompose into irreducibles iff image elements are diagonalizable, and irreducibles are unitary for some inner product iff determinants have modulus 1.