Weighted words at degree two. I: Bressoud's algorithm as an energy transfer

DOI10.4171/AIHPD/150MaRDI QIDQ2693180

Isaac Konan

Publication date: 17 March 2023

Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.10927

zbMATH Keywords

energy transferbijectionsRogers-Ramanujan type identitiesweighted words

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Quantum equilibrium statistical mechanics (general) (82B10) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (1)

Weighted words at degree two. II: Flat partitions, regular partitions, and application to level one perfect crystals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On generalizations of partition theorems of Schur and Andrews to overpartitions
• A generalisation of a second partition theorem of Andrews to overpartitions
• The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities
• Annihilating ideals of standard modules of \({\mathfrak sl}(2,{\mathbb{C}})^\sim\) and combinatorial identities
• On some representations of twisted affine Lie algebras and combinatorial identities
• Generalizations of Schur's partition theorem
• A new four parameter \(q\)-series identity and its partition implications
• Beyond Göllnitz' theorem. II: Arbitrarily many primary colors
• An iterative-bijective approach to generalizations of Schur's theorem
• A generalisation of a partition theorem of Andrews
• Generalisations of Capparelli's and Primc's identities. I: Coloured Frobenius partitions and combinatorial proofs
• Siladić’s theorem: Weighted words, refinement and companion
• A Combinatorial Proof of Schur's 1926 Partition Theorem
• Overpartitions
• Twisted sl(3,C)˜-modules and combinatorial identities
• Generalizations of Capparelli's identity
• A new generalization of Schur's second partition theorem
• A THEOREM ON SEVEN-COLORED OVERPARTITIONS AND ITS APPLICATIONS
• Statistical mechanics and the partition of numbers I. The transition of liquid helium
• A bijective proof and generalization of Siladić's theorem

This page was built for publication: Weighted words at degree two. I: Bressoud's algorithm as an energy transfer