REPRESENTATIONS OF sl(2) IN THE BOOLEAN LATTICE, AND THE HAMMING AND JOHNSON SCHEMES

DOI10.1142/S0219025712500191zbMath1254.05198arXiv1102.0368MaRDI QIDQ4902705

Philip Feinsilver

Publication date: 17 January 2013

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0368

zbMATH Keywords

Boolean algebraBoolean latticeKrawtchouk polynomials\(sl(2)\)Johnson schemeHamming schemezeons\(su(2)\)

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Lie groups (22E99)

Related Items (1)

Krawtchouk polynomials, the Lie algebra \(\mathfrak{sl}_2\), and Leonard pairs

Cites Work

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• The Terwilliger algebra of the hypercube
• The Segal-Bargmann ``coherent state transform for compact Lie groups
• Representations of $\mathfrak{sl}( 2,\mathbb{C} )$ on Posets and the Sperner Property
• RENORMALIZED POWERS OF QUANTUM WHITE NOISE

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