[BOOK][B] Algebraic combinatorics
E Bannai, E Bannai, T Ito, R Tanaka - 2021 - books.google.com
Algebraic combinatorics is the study of combinatorial objects as an extension of the study of
finite permutation groups, or, in other words, group theory without groups. In the spirit of …
finite permutation groups, or, in other words, group theory without groups. In the spirit of …
Distance-regular graphs
ER Van Dam, JH Koolen, H Tanaka - arxiv preprint arxiv:1410.6294, 2014 - arxiv.org
This is a survey of distance-regular graphs. We present an introduction to distance-regular
graphs for the reader who is unfamiliar with the subject, and then give an overview of some …
graphs for the reader who is unfamiliar with the subject, and then give an overview of some …
[HTML][HTML] Quantum symmetric Kac–Moody pairs
S Kolb - Advances in Mathematics, 2014 - Elsevier
The present paper develops a general theory of quantum group analogs of symmetric pairs
for involutive automorphism of the second kind of symmetrizable Kac–Moody algebras. The …
for involutive automorphism of the second kind of symmetrizable Kac–Moody algebras. The …
The half-infinite XXZ chain in Onsagerʼs approach
P Baseilhac, S Belliard - Nuclear Physics B, 2013 - Elsevier
The half-infinite XXZ open spin chain with general integrable boundary conditions is
considered within the recently developed 'Onsagerʼs approach'. Inspired by the finite size …
considered within the recently developed 'Onsagerʼs approach'. Inspired by the finite size …
Projective geometries, Q-polynomial structures, and quantum groups
P Terwilliger - Discrete Mathematics, 2025 - Elsevier
In 2023 we obtained a Q-polynomial structure for the projective geometry LN (q). In the
present paper, we display a more general Q-polynomial structure for LN (q). Our new Q …
present paper, we display a more general Q-polynomial structure for LN (q). Our new Q …
The universal Askey-Wilson algebra
P Terwilliger - SIGMA. Symmetry, Integrability and Geometry: Methods …, 2011 - emis.de
The Universal Askey–Wilson Algebra⋆ Page 1 Symmetry, Integrability and Geometry:
Methods and Applications SIGMA 7 (2011), 069, 24 pages The Universal Askey–Wilson …
Methods and Applications SIGMA 7 (2011), 069, 24 pages The Universal Askey–Wilson …
Distance-regular graphs, the subconstituent algebra, and the Q-polynomial property
P Terwilliger - Algebraic Combinatorics and the Monster Group, 2023 - books.google.com
Distance-regular graphs, the subconstituent algebra, and the Q-polynomial property Page 447
11 Distance-Regular Graphs, the Subconstituent Algebra, and the Q -Polynomial Property Paul …
11 Distance-Regular Graphs, the Subconstituent Algebra, and the Q -Polynomial Property Paul …
[HTML][HTML] The alternating presentation of Uq (gl2ˆ) from Freidel-Maillet algebras
P Baseilhac - Nuclear Physics B, 2021 - Elsevier
An infinite dimensional algebra denoted A¯ q that is isomorphic to a central extension of U
q+-the positive part of U q (sl 2 ˆ)-has been recently proposed by Paul Terwilliger. It provides …
q+-the positive part of U q (sl 2 ˆ)-has been recently proposed by Paul Terwilliger. It provides …
The Alternating Central Extension of the q-Onsager Algebra
P Terwilliger - Communications in Mathematical Physics, 2021 - Springer
The q-Onsager algebra O_q O q is presented by two generators W_0 W 0, W_1 W 1 and two
relations, called the q-Dolan/Grady relations. Recently Baseilhac and Koizumi introduced a …
relations, called the q-Dolan/Grady relations. Recently Baseilhac and Koizumi introduced a …
The nucleus of a -polynomial distance-regular graph
P Terwilliger - arxiv preprint arxiv:2408.11282, 2024 - arxiv.org
Let $\Gamma $ denote a $ Q $-polynomial distance-regular graph with diameter $ D\geq 1$.
For a vertex $ x $ of $\Gamma $ the corresponding subconstituent algebra $ T= T (x) $ is …
For a vertex $ x $ of $\Gamma $ the corresponding subconstituent algebra $ T= T (x) $ is …