Uniform posets and Leonard pairs based on unitary spaces over finite fields

DOI10.1080/03081087.2015.1075953zbMath1365.06001OpenAlexW1943308442MaRDI QIDQ2805694

Liangyun Chen, Na Kang

Publication date: 12 May 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2015.1075953

zbMATH Keywords

posetfinite fieldLeonard pairunitary spaceuniform poset

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Canonical forms, reductions, classification (15A21)

Related Items (1)

The attenuated space poset \(\mathcal{A}_q(N, M)\)

Cites Work

• Bipartite \(Q\)-polynomial distance-regular graphs and uniform posets
• DNA library screening, pooling design and unitary spaces
• Pooling spaces associated with finite geometry
• The graphs induced by maximal totally isotropic flats of affine-unitary spaces
• Lattices generated by orbits of subspaces under finite singular pseudo-symplectic groups. II.
• Dual polar graphs, the quantum algebra \(U_q(\mathfrak{sl}_{2})\), and Leonard systems of dual \(q\)-Krawtchouk type
• A CONSTRUCTION OF CARTESIAN AUTHENTICATION CODE FROM ORTHOGONAL SPACES OVER A FINITE FIELD OF ODD CHARACTERISTIC
• Lattices generated by transitive sets of subspaces under finite classical groups I
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other

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