Anne Shepler

Anne V. Shepler

PUBLICATIONS

Twisted tensor products: Alexander-Whitney and Eilenberg-Zilber maps, with S. Witherspoon. Submitted.

Quantum symmetrization and resolutions for triangular Ore extensions, with I. Bancroft. Submitted.

Deformation cohomology for cyclic groups acting on polynomial rings, with Colin Lawson. Journal of Pure and Applied Algebra 228, no. 7 (2024), 22 pp.

Invariant differential derivations for reflection groups in positive characteristic, with Dillon Hanson. Advances in Applied Mathematics 156 (2024), 43 pp.

Automorphisms of quantum polynomial rings and Drinfeld Hecke algebras, with Christine Uhl. Journal of Noncommutative Geometry 18 (2024), no. 3, pp. 803-–835.

Drinfeld Hecke algebras for symmetric groups in positive characteristic, with Naomi Krawzik. Communications in Algebra 50 (2022), 5, pp. 1925--1941.

Gerstenhaber brackets for skew group algebras in positive characteristic, with Sarah Witherspoon. Transformation Groups 27 (2022), pp. 295–309.

Invariant theory for coincidental complex reflection groups, with Victor Reiner and Eric Sommers. Mathematische Zeitschrift 298 (2021), 1-2, pp. 787--820.

Group-twisted Alexander-Whitney and Eilenberg-Zilber maps, with Sarah Witherspoon. Algebras and Representation Theory 24 (2021), pp. 357--366.

Invariants of polynomials mod Frobenius powers, with Chelsea Drescher. Journal of Algebra 556 (2020), pp. 908--935.

Invariant derivations and differential forms for reflection groups, with Victor Reiner. Proceedings of the London Mathematical Society 119 (2019), no. 2, 329--357.

Steinberg's theorem for crystallographic complex reflection groups, with Philip Puente. Journal of Algebra 522 (2019), pp. 332--350.

Resolutions for twisted tensor products, with Sarah Witherspoon. Pacific Journal of Mathematics 298 (2019), no. 2, pp. 445--469.

Color Lie rings and PBW deformations of skew group algebras, with S. Fryer, T. Kanstrup, E. Kirkman, and S. Witherspoon. Journal of Algebra 518 (2019), pp. 211--236.

Deforming group actions on Koszul algebras, with Sarah Witherspoon. Mathemathical Research Letters 25 (2018), no. 5 (2018), pp. 1613--1644.

Group coding with complex isometries, with Hye Jung Kim and J.B. Nation. IEEE Transactions on Information Theory 61 (2015), Issue 1, 33--50.

PBW deformations of skew group algebras in positive characteristic, with Sarah Witherspoon. Algebras and Representation Theory 18 (2015), Issue 1, 257--280.

Poincare-Birkhoff-Witt theorems, with Sarah Witherspoon. In Commutative Algebra and Noncommutative Algebraic Geometry, Volume 1, edited by David Eisenbud, Srikanth B. Iyengar, Anurag K. Singh, J. Toby Stafford, Michel Van den Bergh, Cambridge University Press, Mathematical Sciences Research Institute, 2015.

A Poincare-Birkhoff-Witt theorem for quadratic algebras with group actions, with Sarah Witherspoon. Transactions of the American Mathematical Society 366 (2014), no. 12, 6483--6506.

Quantum Drinfeld Hecke algebras, with Viktor Levandovskyy. Canadian Journal of Mathematics 66 (2014), 874--901.

Drinfeld orbifold algebras, with Sarah Witherspoon. Pacific Journal of Mathematics 259-1 (2012), 161--193.

Group actions on algebras and the graded Lie structure of Hochschild cohomology, with Sarah Witherspoon. Journal of Algebra 351 (2012), 350--381.

Finite groups actings linearly: Hochschild cohomology and the cup product, with Sarah Witherspoon. Advances in Mathematics 226 (4), 2011, 2884--2910.

Quantum differentiation and chain maps of bimodule complexes, with Sarah Witherspoon. Algebra and Number Theory 5, no. 3 (2011), 339--360.

Jacobians of reflection groups, with Julia Hartmann. Transactions of the American Mathematical Society 360 (2008), no.1, 123--133.

Hochschild cohomology and graded Hecke algebras, with Sarah Witherspoon. Transactions of the American Mathematical Society 360 (2008), no. 8, 3975--4005.

Reflection groups and differential forms, with Julia Hartmann. Mathematical Research Letters 14 (2007), no. 6, 955--971.

Generalized exponents and forms dvi, Journal of Algebraic Combinatorics 22 (2005), no. 1, 115--132.

Classification of graded Hecke algebras for complex reflection groups, with Arun Ram. Commentarii Mathematici Helvetici 78 (2003), no. 2, 308--334. dvi, ps

The sign representation for Shephard groups, with Peter Orlik and Victor Reiner. Mathematische Annalen 322 (2002), 477--492. ps, dvi

Logarithmic forms and anti-invariant forms of reflection groups, with Hiroaki Terao. In Advanced Studies in Pure Math. 27, Arrangements, Tokyo, 2000, Kinokuniya and North-Holland, Tokyo-Amsterdam. pdf, ps

Semi-invariants of finite reflection groups. pdf, dvi. Journal of Algebra 220 (1999), no. 1, 314--326.

I use the arXiv.org e-Print server.