Available Tools
Adams conjecture
A-packetsLists theta lifts of elements in a local A packet.
→Arthur Packets
A-packetsLists elements in a local A packet.
→Derivatives and Socles
A-packetsComputes derivatives and socles.
→Extended multisegment inspector
A-packetsDisplays details regarding extended multisegments.
→L-Packets
A-packetsLists elements in a local L-packet.
→Representation inspector
A-packetsFinds all local A-packets containing a given representation.
→Aubert Dual
Aubert DualComputes the Aubert-Zelevinsky dual for classical groups.
→Franke Filtration
Automorphic representationsComputes the Franke filtration for GL_n.
→Bruhat Order
Coxeter groupsVisualize the Bruhat order of any Coxeter group.
→Coxeter Group Explorer
Coxeter groupsInspect the root system, matrices, length distribution, conjugacy classes, subgroups, and character tables for any Coxeter group.
→Kazhdan–Lusztig Polynomials
Coxeter groupsCompute Kazhdan–Lusztig polynomials, cells, and Duflo involutions for Coxeter groups.
→Character values
Finite groupsValues of a given character evaluated at all conjugacy classes.
→Conjugacy class
Finite groupsValues of characters evaluated at a given conjugacy class.
→Conjugacy classes list
Finite groupsList of conjugacy classes of the general linear group.
→Gelfand-Graev multiplicities
Finite groupsCompute generalized Gelfand-Graev multiplicities for representations of the general linear group.
→Green polynomials
Finite groupsComputes Green polynomials for .
→Representations list
Finite groupsList of irreducible representations of the general linear group.
→Theta elevator
Theta correspondenceComputes theta lifts for classical groups.
→Theta lifts
Theta correspondenceLists theta lifts of a given representation.
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