Representations of quantum affine algebras and applications

Project Information

QAffine

Grant agreement ID: 647353

DOI

10.3030/647353

Project closed

EC signature date 23 July 2015

Start date 1 September 2015

End date 28 February 2021

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 182 000,00

EU contribution

€ 1 182 000,00

Coordinated by

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
France

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Thesis and dissertations (2)

Catégorifications d'algèbres amassées et représentations d'algèbres de Hecke carquois

Author(s): Elie Casbi
Published in: 2020
Publisher: arXiv

Anneaux de Grothendieck quantiques, algèbres amassées et catégorie O affine quantique

Author(s): Léa Bittmann
Published in: 2019
Publisher: arxiv

Other (11)

Equivariant multiplicities of simply-laced type flag minors

Author(s): Casbi, Elie
Published in: Issue 3, 2020
Publisher: arXiv

Representations of shifted quantum affine algebras

Author(s): Hernandez, David
Published in: 2020, Issue 1, 2020
Publisher: arXiv

Affine Hecke algebras and generalisations of quiver Hecke algebras for type B

Author(s): Loic Poulain d'Andecy, Ruari Walker
Published in: arXiv, 2017
Publisher: arXiv

Stable maps, Q-operators and category O

Author(s): Hernandez, David
Published in: https://hal.archives-ouvertes.fr/hal-02162733, 2019
Publisher: arxiv

Quantum periodicity and Kirillov-Reshetikhin modules

Author(s): Hernandez, David
Published in: Progress in Mathematics (to appear), 2019
Publisher: arxiv

Dominance order and monoidal categorification of cluster algebras

Author(s): Casbi, Elie
Published in: Pacific Journal of Mathematics (to appear), 2019
Publisher: arxiv

Newton-Okounkov bodies for categories of modules over quiver Hecke algebras

Author(s): Elie Casbi
Published in: 2019
Publisher: arxiv

"Cluster realizations of Weyl groups and higher Teichm\""uller theory"

Author(s): Inoue, Rei; Ishibashi, Tsukasa; Oya, Hironori
Published in: 2019
Publisher: arxiv

Affine Hecke algebras of type D and generalisations of quiver Hecke algebras

Author(s): d'Andecy, L. Poulain; Walker, R.
Published in: 2019
Publisher: arxiv

Isomorphisms among quantum Grothendieck rings and propagation of positivity

Author(s): Fujita, Ryo; Hernandez, David; Oh, Se-jin; Oya, Hironori
Published in: Issue 4, 2021
Publisher: arXiv

Toroidal Grothendieck rings and cluster algebras

Author(s): Fedele, Laura; Hernandez, David
Published in: Issue 1, 2019
Publisher: arXiv

Peer reviewed articles (5)

Quantum Grothendieck rings as quantum cluster algebras

Author(s): Léa Bittmann
Published in: Journal of the London Mathematical Society, Issue 103/1, 2021, Page(s) 161-197, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.12369

Advances in R-matrices and their applications

Author(s): David Hernandez
Published in: Séminaire Bourbaki, Astérisque, Issue 407 (2019), 2019, Page(s) 267--296, ISSN 0303-1179
Publisher: Societe Mathematique de France
DOI: 10.24033/ast.1067

Asymptotics of Standard Modules of Quantum Affine Algebras

Author(s): Léa Bittmann
Published in: Algebras and Representation Theory, 2017, ISSN 1386-923X
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10468-018-9818-0

Cluster algebras and category for representations of Borel subalgebras of quantum affine algebras

Author(s): David Hernandez, Bernard Leclerc
Published in: Algebra & Number Theory, Issue 10/9, 2016, Page(s) 2015-2052, ISSN 1937-0652
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/ant.2016.10.2015

Spectra of Quantum KdV Hamiltonians, Langlands Duality, and Affine Opers

Author(s): Edward Frenkel, David Hernandez
Published in: Communications in Mathematical Physics, Issue 362/2, 2018, Page(s) 361-414, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-018-3194-9

Conference proceedings (2)

Spectra of quantum integrable systems and cluster algebras, Langlands duality and category O

Author(s): David Hernandez
Published in: Oberwolfach Reports, Issue 14 (2017), 2018, Page(s) 1281--1347, ISSN 1660-8933
Publisher: EMS

Grothendieck ring isomorphims, cluster algebras and Kazhdan-Lusztig polynomials

Author(s): David Hernandez
Published in: Oberwolfach Reports, 2019
Publisher: EMS

Non-peer reviewed articles (6)

Convolution products and R -matrices for type B quiver Hecke algebras

Author(s): Ruari Walker
Published in: Communications in Algebra, Issue 47/7, 2019, Page(s) 2634-2653, ISSN 0092-7872
Publisher: Marcel Dekker Inc.
DOI: 10.1080/00927872.2018.1530253

Cyclicity and R-matrices

Author(s): David Hernandez
Published in: Selecta Mathematica, Issue 25/2, 2019, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-019-0465-z

Quantum Grothendieck ring isomorphisms, cluster algebras and Kazhdan-Lusztig algorithm

Author(s): David Hernandez, Hironori Oya
Published in: Advances in Mathematics, Issue 347, 2019, Page(s) 192-272, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2019.02.024

THE CHAMBER ANSATZ FOR QUANTUM UNIPOTENT CELLS

Author(s): HIRONORI OYA
Published in: Transformation Groups, Issue 24/1, 2019, Page(s) 193-217, ISSN 1083-4362
Publisher: Birkhaeuser
DOI: 10.1007/s00031-018-9500-y

Twist Automorphisms on Quantum Unipotent Cells and Dual Canonical Bases

Author(s): Yoshiyuki Kimura, Hironori Oya
Published in: International Mathematics Research Notices, 2019, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnz040

Supersymmetric Polynomials and the Center of the Walled Brauer Algebra

Author(s): Ji Hye Jung, Myungho Kim
Published in: Algebras and Representation Theory, 2019, ISSN 1386-923X
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10468-019-09922-3

Book chapters (1)

Quantum affine algebras and cluster algebras

Author(s): Hernandez, David; Leclerc, Bernard
Published in: Progress in Mathematics (to appear), 2019
Publisher: arxiv