Aaron Lauve’s

RECENT COMMUNICATIONS

Below is a list of recent communications for which I have a digital copy. See my CV for a complete history.

Presentations
• Generalized Jucys-Murphy elements and canonical idempotents in Brauer algebras. 3rd Congress of the Pacific Rim Math. Assoc., Oaxaca, Mexico, August 2017. [slides]
• Convolution powers of the identity in combinatorial Hopf algebras. Midwest Combinatorics Conference, Minnesota, May 2015. [slides]
• Hopf algebra structure of the ring of k-Schur functions. XX Coloquio Latinoamericano de Algebra, Lima, Peru, December 2014. [slides]
• Measurings in graded connected Hopf algebras. Meeting of the Atlantic Category Group, Halifax, October 2014. [slides]
• Lagrange's theorem for Hopf monoids in species. FPSAC'11, Iceland, June 2011. [poster]
• QSym over Sym has a stable basis. (Graciously delivered by Christophe Reutenauer in my absence.) LaCIM 2010: Mini-conference in honor of LaCIM's 10th anniversary, Montreal, August, 2010. [slides]
• Skew Littlewood–Richardson rules from Hopf algebras. 22nd International Conference on Formal Power Series and Algebraic Combinatorics, San Francisco, July, 2010. [slides]
• Lagrange's theorem for Hopf monoids in species. SIAM Conference on Discrete Mathematics, Austin, TX, June, 2010. [slides]
• QSym over Sym has a stable basis. AMS Sectional Meeting, Lexington, KY, March, 2010. [slides]
• New Hopf structures on planar binary trees. FPSAC'09, Austria, July 2009. [poster]
• Nichols algebras in positive characteristic. CMS Summer Meeting, St. John's, Newfoundland, June 2009. [slides]
• Hopf structures on binary trees (variations on a theme). AMS Section Meeting, Raleigh, NC, April 2009. [slides]
• Rational and irrational series over the free group. AMS Joint Meetings, Washington, D.C., January 2009. [slides]
• New Hopf structures on planar binary trees. CMS Winter Meetings, Ottawa, December 2008. [slides]
• Invariant and coinvariant spaces for the algebra of symmetric polynomials in non-commuting variables. 20th International Conference on Formal Power Series and Algebraic Combinatorics, Valparaiso, Chile, June, 2008. [slides]
• On matrix inversion using mixed information. AMS Sectional Meeting, Baton Rouge, LA, March, 2008. [slides]
• The Markoff condition and central words. AMS/MAA Joint Meetings (YMN Poster Session), San Diego, CA, January 2008. [poster]
• Yangian flags via quasideterminants. Advanced Course on Quasideterminants and Universal Localization, CRM, Barcelona, Spain February, 2007. [slides]
• PO-set paths and q-commuting minors. Séminaire de combinatoire et d'informatique mathématique, LaCIM-UQAM, Montréal, April 2006. [slides]

Publications
Journal articles
• (with S. Doty, G.H. Seelinger) Canonical idempotents of multiplicity-free families of algebras. l'Enseignement Math., to appear. [preprint]
• (with M. Aguiar) The characteristic polynomial of the Adams operators on graded connected Hopf algebras. Alg. Number Theory, 9 (2015), no. 3, 547–583. [preprint]
• (with T. Hangelbroek) The polyharmonic Dirichlet problem and path counting. J. Math. Pures Appl. (9), 102 (2014), no. 3, 449–481. [preprint]
• (with M. Konvalinka) Skew Pieri rules for Hall--Littlewood functions. J. Alg. Comb., 17 (2013), no. 3, 499–518. [preprint]
• (with S. Forcey & F. Sottile) Cofree compositions of coalgebras. Ann.Comb.,SpecialIssue: 10 years of BAD Math, 17 (2013), no. 1, 105–130. [preprint]
• (with M. Aguiar) Lagrange's theorem for Hopf monoids in species. Canad. J. Math., 65 (2013), no. 2, 241–265. [preprint]
• (with S. Mason) QSym over Sym has a stable basis. J. Combin. Theory Ser. A, 118 (2011), 1661–1673. [preprint]
• (with M. Mastnak) The primitives and antipode in the Hopf algebra of symmetric functions in noncommuting variables. Adv. Appl. Math., 47 (2011), no. 3, 536–544. [preprint]
• (with F. Bergeron) Invariant and coinvariant spaces for the algebra of symmetric polynomials in non-commuting variables. Electron. J. Combin. 17 (2010), no. 1, article R166. [preprint]
• Quasideterminants and q-commuting minors. Glasgow Math. J. 52 (2010), no. 3, pp.663–675. [preprint]
• (with S. Forcey & F. Sottile) Hopf structures on the multiplihedra. SIAM J. Discrete Math., to appear. [preprint]
• (with T. Lam & F. Sottile) Skew Littlewood-Richardson rules from Hopf algebra. Int. Math. Res. Not., to appear. [preprint]
• (with C. Cibils & S. Witherspoon) Hopf quivers and Nichols algebras in positive characteristic. Proc. Amer. Math. Soc. 137 (2009), no.12, pp.4029–4041. [preprint]
• (with A. Glen & F.V. Saliola) A note on the Markoff condition and central words. Inform. Process. Lett. 105 (2008), no.6, pp.241–244. [preprint]
• (with E.J. Taft) A class of left quantum groups modeled after $SL$q(n). J. Pure Appl. Algebra 208 (2007), no. 3, pp.797–803. [preprint]
• Quantum- and quasi-Plücker coordinates. J. Algebra, 296 (2006), no. 2, pp.440–461. [preprint]
Proceedings, Books, Collections
• (with M. Mastnak) Bialgebra coverings and transfer of structure. In: Tensor categories and Hopf algebras. Edited by N. Andruskeiwitch and D. Nikshych. Contemporary Mathematics, ##. AMS, Providence, RI, to appear. [preprint]
• (with C. Reutenauer) Rational series in the free group and the Connes operator. In: Noncommutative Birational Geometry, Representations and Combinatorics. Edited by A. Berenstein and V. Retakh. Contemporary Mathematics, 592. AMS, Providence, RI, 2013, pp. 177–197. [preprint]
• (with M. Aguiar) Antipode and convolution powers of the identity in graded connected Hopf algebras. 25th Annual FPSAC Conference (Paris, France, 2013), DMTCS Proceedings. [preprint]
• (with M. Konvalinka) Skew Pieri rules for Hall--Littlewood functions. 24th Annual FPSAC Conference (Nagoya, Japan, 2012), DMTCS Proceedings. [preprint]
• (with M. Aguiar) Lagrange's theorem for Hopf monoids in species. 23nd Annual FPSAC Conference (Reykjavik, Iceland, 2011), DMTCS Proceedings. [preprint]
• (with S. Mason) QSym over Sym has a stable basis. 22nd Annual FPSAC Conference (San Francisco, 2010), DMTCS Proceedings. [preprint]
• (with T. Lam & F. Sottile) Skew Littlewood–Richardson rules from Hopf algebras. 22nd Annual FPSAC Conference (San Francisco, 2010), DMTCS Proceedings. [preprint]
• (with S. Forcey & F. Sottile) New Hopf structures on binary trees. 21st Annual FPSAC Conference (Hagenberg, Austria, 2009), DMTCS Proceedings. [preprint]
• (with F. Bergeron) Invariant and coinvariant spaces for the algebra of symmetric polynomials in non-commuting variables. 20th Annual FPSAC Conference (Valparaiso, Chile, 2008), DMTCS Proceedings. [preprint]

• (with J. Berstel, C. Reutenauer, F.V. Saliola) Combinatorics on words: Christoffel words and repetitions in words. CRM Monograph Series, v.27, Amer. Math. Soc., 2009 [preprint]
• (with D.F. Anderson, A. Frazier, P.S. Livingston) The zero-divisor graph of a commutative ring, II. Ideal theoretic methods in commutative algebra, pp.61--72, Lecture Notes in Pure and Appl. Math., v.220, Dekker, 2001. [preprint]

• A quasideterminantal approach to quantized flag varieties. PhD thesis, Rutgers University, 2005. [preprint]