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.
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2 Pith papers cite this work. Polarity classification is still indexing.
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A group of order 64 admits a symmetric 2-cocycle with values in C^x that represents a non-trivial cohomology class.
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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.
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Symmetric 2-cocycles with values in $\mathbb{C}^\times$
A group of order 64 admits a symmetric 2-cocycle with values in C^x that represents a non-trivial cohomology class.