Anne Shepler

Anne V. Shepler

PUBLICATIONS

Automorphisms of quantum polynomial rings and Drinfeld Hecke algebras, with Christine Uhl. Submitted.

Drinfeld Hecke algebras for symmetric groups in positive characteristic, with Naomi Krawzik. Submitted.

Gerstenhaber brackets for skew group algebras in positive characteristic, with Sarah Witherspoon. Transformation Groups (2021).

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.

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