The Locally Finite Part of the Dual Coalgebra of Quantized Irreducible Flag Manifolds

By István Heckenberger, Stefan Kolb. 2003

73 citations recorded by the source corpus.

For quantized irreducible flag manifolds the locally finite part of the dual coalgebra is shown to coincide with a natural quotient coalgebra U¯ of Uq g. On the way the coradical filtration of U¯ is determined. A graded version of the duality between U¯ and the quantized coordinate ring is established. This leads to a natural construction of several examples of quantized vector spaces.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/de87d69f890643b50ab29c60038015cd9dc17827

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In Algebra and Number Theory

1. S. P. Smith
2. Edwin J. Beggs
3. Roozbeh Hazrat
4. Xiao-Wu Chen

In Geometry and Topology

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2. Edwin J. Beggs
3. Roozbeh Hazrat
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In Mathematical Physics

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2. Edwin J. Beggs
3. Roozbeh Hazrat
4. Xiao-Wu Chen

Citations in the corpus

• On the Hochschild (co)homology of quantum homogeneous spaces (2008, unknown): “, in [7, 19, 18, 17, 25, 39].”
• Noncommutative complex differential geometry (2012, methodology): “In [43,5,6], Kolb and Heckenberger construct an integrable almost complex structure on the quantum group analogues of irreducible flag varieties.”