The $q$-analog of Kostant's partition function and the highest root of the classical Lie algebras

zbMath1459.17021arXiv1508.07934MaRDI QIDQ4616093

Mohamed Omar, Erik Insko, Pamela E. Harris

Publication date: 30 January 2019

Full work available at URL: https://arxiv.org/abs/1508.07934

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Exceptional (super)algebras (17B25) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (6)

On Kostant's weight \(q\)-multiplicity formula for \(\mathfrak{sl}_4(\mathbb{C})\) ⋮ Unnamed Item ⋮ On Kostant's weight \(q\)-multiplicity formula for \(\mathfrak{sp}_6 (\mathbb{C})\) ⋮ Kostant's partition function and magic multiplex juggling sequences ⋮ Weight \(q\)-multiplicities for representations of the exceptional Lie algebra \(\mathfrak{g}_2\) ⋮ On the poset and asymptotics of Tesler matrices

Cites Work

• Unnamed Item
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• On the adjoint representation of \(\mathfrak{sl}_n\) and the Fibonacci numbers
• Enumerating (Multiplex) juggling sequences
• Lattice path combinatorics and asymptotics of multiplicities of weights in tensor powers
• Tensor product multiplicities and convex polytopes in partition space
• Kostant partitions functions and flow polytopes
• On the combinatorics of Kostant's partition function
• A vector partition function for the multiplicities of \(\mathfrak{sl}_k\mathbb C\)
• Volume computation for polytopes and partition functions for classical root systems
• Generating functions and multiplicity formulas: The case of rank two simple Lie algebras
• The Kostant partition function for simple Lie algebras
• Symmetry, Representations, and Invariants
• Characters and the q -Analog of Weight Multiplicity
• A Polynomial Time Algorithm for Counting Integral Points in Polyhedra When the Dimension is Fixed
• Flow Polytopes of Signed Graphs and the Kostant Partition Function
• A Formula For the Multiplicity of a Weight

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