Publications (S. Launois)

Publications

Published papers:

"Poisson algebras via model theory and differential-algebraic geometry", with Jason Bell, Omar Leon Sanchez and Rahim Moosa, Journal of the European Mathematical Society 19 (2017), 2019-2049, DOI: 10.4171/JEMS/712 arXiv:1406.0867

"A strong Dixmier-Moeglin equivalence for quantum Schubert cells", with Jason Bell and Brendan Nolan, to appear in Journal of Algebra, DOI: 10.1016/j.jalgebra.2017.06.005 arXiv: 1510.06577

"Poisson Deleting Derivations Algorithm and Poisson Spectrum", with César Lecoutre, Communications in Algebra 45 (2017), 1294-1313. DOI: 10.1080/00927872.2016.1175619 arXiv:1409.4604

"A quadratic Poisson Gel'fand-Kirillov problem in prime characteristic", with César Lecoutre, Transactions of the American Mathematical Society 368 (2016), 755-785. DOI: 10.1090/tran/6352 arXiv:1302.2046

"Endomorphisms of quantum generalized Weyl algebras", with Andrew Kitchin, Letters in Mathematical Physics 104 (2014), 837-848. DOI: 10.1007/s11005-014-0691-4 arXiv:1311.3907

"Graded quantum cluster algebras and an application to quantum Grassmannians", with Jan Grabowski, Proceedings of the London Mathematical Society 109 (2014), 697-732. DOI: 10.1112/plms/pdu018 arXiv:1301.2133

"Efficient recognition of totally nonnegative matrix cells", with Tom Lenagan, Foundations of Computational Mathematics 14 (2014), 371-387. DOI: 10.1007/s10208-013-9169-5 arXiv:1207.3613

"Primitive ideals in quantum Schubert cells: dimension of the strata", with Jason Bell and Karel Casteels, Forum Mathematicum 26 (2014), 703-721. DOI: 10.1515/forum-2011-0155 arXiv:1009.1347.

"Automorphisms of quantum matrices", with Tom Lenagan, Glasgow Mathematical Journal 55A (2013), 89-100. Special issue in honour of 60th birthdays of Kenny Brown and Toby Stafford. arXiv

"Classification of factorial generalized down-up algebras", with Sam Lopes, Journal of Algebra 396 (2013), 184-206. arXiv

"Enumeration of H-strata in quantum matrices with respect to dimension", with Jason Bell and Karel Casteels, Journal of Combinatorial Theory, Series A, 119 (2012), 83-98. arXiv

"Enumeration of torus-invariant strata with respect to dimension in the big cell of the quantum minuscule Grassmannian of type B_n", with Jason Bell and Karel Casteels, Contemporary Mathematics 562 (2012), 27-40. arXiv

"The Dixmier-Moeglin equivalence and a Gel'fand-Kirillov problem for Poisson polynomial algebras" with Ken Goodearl, Bulletin de la Société Mathématique de France 139 (2011), 1-39. arXiv

"Totally nonnegative cells and Matrix Poisson varieties" with Ken Goodearl and Tom Lenagan, Advances in Mathematics 226 (2011) 779-826, doi:10.1016/j.aim.2010.07.010. arXiv

"Torus-invariant prime ideals in quantum matrices, totally nonnegative cells and symplectic leaves" with Ken Goodearl and Tom Lenagan, Mathematische Zeitschrift 269 (2011), No. 1, 29-45, doi:10.1007/s00209-010-0714-5. arXiv

"Twisting the quantum grassmannian" with Tom Lenagan, Proceedings of the American Mathematical Society, 139 (2011), 99-110. doi:10.1090/S0002-9939-2010-10478-1. arXiv

"Quantum cluster algebra structures on quantum Grassmannians and their quantum Schubert cells: the finite-type cases" with Jan Grabowski, International Mathematical Research Notices, doi:10.1093/imrn/rnq153. arXiv

"On the dimension of H-strata in quantum matrices" with Jason Bell, Algebra and Number Theory 4 (2010), No. 2, 175–200. arXiv

"An automaton-theoretic approach to the representation theory of quantum algebras" with Jason Bell and Jamie Lutley, Advances in Mathematics 223 (2010), 476--510. arXiv.

"Dimension and enumeration of primitive ideals in quantum algebras" with Jason Bell and Nhan Nguyen, J. Algebr. Comb. (2009) 29: 269–294. arXiv

"Poisson (co)homology of truncated polynomial algebras in two variables", with L. Richard, C. R. Acad. Sci. Paris, Ser. I 347 (2009) 133–138. arXiv

"Prime ideals in the quantum Grassmannian", with Tom Lenagan and Laurent Rigal, Selecta Math. (N.S.) 13 (2008), no. 4, 697-725. arXiv

"The first Hochschild cohomology group of quantum matrices and the quantum special linear group" with Tom Lenagan,
J. Noncommut. Geom. 1 (2007), no. 3, 281-309. arXiv

"Quantised coordinate rings of semisimple groups are unique factorisation domains" with Tom Lenagan,

Bull. London Math. Soc. 39 (2007), no. 3, 439-446. arXiv

"Automorphisms and derivations of U_q(sl_4^+)" with Samuel Lopes, J. Pure Appl. Algebra 211 (2007), no.1, 249-264. arXiv

"Primitive ideals and automorphisms of quantum matrices" with Tom Lenagan, Algebr. Represent. Theory 10 (2007), no. 4, 339-365. arXiv

"Primitive ideals and automorphism group of Uq+(B2)", J. Algebra Appl. 6 (2007), no. 1, 21-47. arXiv

"Twisted Poisson duality for some quadratic Poisson algebras" with Lionel Richard, Lett. Math. Phys. 79 (2007), no 2, 161-174.

Longer version available at arXiv.

"Combinatorics of H-primes in quantum matrices", J. Algebra 309 (2007) 139-167. arXiv

"Quantum unique factorisation domains" with Tom Lenagan and Laurent Rigal, J. London Math. Soc. (2) 74 (2006), no. 2, 321-340. arXiv

"Rank t H-primes in quantum matrices", Comm. Algebra 33 (2005), no 3, 837--854. arXiv

"Generators of H-invariant prime ideals in Oq(Mm,p(C))", Proc. Edinb. Math. Soc. (2) 47 (2004), 163-190.

"Les idéaux premiers invariants de Oq(Mm,p(C))", J. Algebra 272 (2004) 191-246.

Conference paper:

"On the automorphism group of q-enveloping algebras of nilpotent Lie algebras", Proc. workshop "From Lie Algebras to Quantum Groups",

Book reviews:

S. Launois, book review of ”Quantum groups: A path to current algebra by Ross Street. Australian Mathematical Society Lecture Series 19, Cambridge University Press, Cambridge, 2007, 141 pp., ISBN 0-5216-9524-4”, Bulletin of the London Mathematical Society 41 (2009), 571 - 572.

S. Launois, book review of ”Lie superalgebras and enveloping algebras by Ian M. Musson, Graduate Studies in Mathematics, 131. American Mathematical Society, Providence, RI, 2012. xx+488 pp. ISBN: 978-0-8218-6867-6", Bulletin of the London Mathematical Society 45 (2013), 666–667.