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12 papers · 1 filter
Two-row Delta Springer varieties
Abel Lacabanne, Pedro Vaz, Arik Wilbert
We study the geometry and topology of -Springer varieties associated with two-row partitions. These varieties were introduced in recent work by Griffin-Levinson-Woo to give a ge…
A survey of support theories for Lie superalgebras and finite supergroup schemes
Christopher M. Drupieski, Jonathan R. Kujawa
We survey the current state of various support variety theories for Lie superalgebras and finite supergroup schemes. We pay particular attention to the theory in characteristic zer…
A study of irreducible components of Springer fibers using quiver varieties
Mee Seong Im, Chun-Ju Lai, Arik Wilbert
It is a remarkable theorem by Maffei--Nakajima that the Slodowy variety, which is a subvariety of the resolution of the nilpotent cone, can be realized as a Nakajima quiver variety…
Counterexamples to the Tilting and -Filtration Conjectures
Christopher P. Bendel, Daniel K. Nakano, Cornelius Pillen +1
In this paper the authors produce a projective indecomposable module for the Frobenius kernel of a simple algebraic group in characteristic that is not the restriction of an in…
The Complex Orthogonal Gelfand-Zeitlin System
Mark Colarusso, Sam Evens
In this paper, we use the theory of algebraic groups to prove a number of new and fundamental results about the orthogonal Gelfand-Zeitlin system. We show that the moment map (orth…
Restricted Lie algebras with maximal 0-PIM
Jörg Feldvoss, Salvatore Siciliano, Thomas Weigel
In this paper we show that the projective cover of the trivial irreducible module of a finite-dimensional solvable restricted Lie algebra is induced from the one-dimensional trivia…