scholarly journals Free group representations from vector-valued multiplicative functions, II

2016 ◽  
Vol 284 (3-4) ◽  
pp. 1137-1162
Author(s):  
M. Gabriella Kuhn ◽  
Sandra Saliani ◽  
Tim Steger
Keyword(s):  
Free Group ◽  
Multiplicative Functions ◽  
Group Representations ◽  
Vector Valued

scholarly journals Monotony of Certain Free Group Representations

2001 ◽  
Vol 179 (1) ◽  
pp. 1-17 ◽  
Author(s):  
M.Gabriella Kuhn ◽  
Tim Steger
Keyword(s):  
Free Group ◽  
Group Representations

SET-THEORETIC YANG–BAXTER SOLUTIONS VIA FOX CALCULUS

2006 ◽  
Vol 15 (08) ◽  
pp. 949-956 ◽  
Author(s):  
J. SCOTT CARTER ◽  
MASAHICO SAITO
Keyword(s):  
Free Group ◽  
Braid Group ◽  
Baxter Equation ◽  
Group Representations ◽  
Group Automorphisms ◽  
Free Group Automorphisms

We construct solutions to the set–theoretic Yang–Baxter equation using braid group representations in free group automorphisms and their Fox differentials. The method resembles the extensions of groups and quandles.

scholarly journals Topology of moduli spaces of free group representations in real reductive groups

2016 ◽  
Vol 28 (2) ◽  
Author(s):  
Ana Casimiro ◽  
Carlos Florentino ◽  
Sean Lawton ◽  
André Oliveira
Keyword(s):  
Free Group ◽  
Moduli Spaces ◽  
Reductive Groups ◽  
Group Representations

AbstractLet

scholarly journals Fixed point property of amenable planar vortexes

2021 ◽  
Vol 22 (2) ◽  
pp. 385
Author(s):  
James Francis Peters ◽  
Tane Vergili
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Free Group ◽  
Fixed Point Property ◽  
Fundamental Result ◽  
Point Property ◽  
Group Representations ◽  
Amenable Groups ◽  
Natural Outcome ◽  
The 1960S

This article introduces free group representations of planar vortexes in a CW space that are a natural outcome of results for amenable groups and fixed points found by M.M. Day during the 1960s and a fundamental result for fixed points given by L.E.J. Brouwer.

scholarly journals The topology of moduli spaces of free group representations

2009 ◽  
Vol 345 (2) ◽  
pp. 453-489 ◽  
Author(s):  
Carlos Florentino ◽  
Sean Lawton
Keyword(s):  
Free Group ◽  
Moduli Spaces ◽  
Group Representations

scholarly journals Some irreducible free group representations in which a linear combination of the generators has an eigenvalue

2002 ◽  
Vol 72 (2) ◽  
pp. 257-286 ◽  
Author(s):  
William L. Paschke
Keyword(s):  
Linear Combination ◽  
Free Group ◽  
Regular Representation ◽  
Invariant Probability Measure ◽  
Positive Definite Function ◽  
Definite Function ◽  
Group Representations ◽  
Rational Map ◽  
Left Regular Representation ◽  
Irreducible Unitary Representations

AbstractWe construct irreducible unitary representations of a finitely generated free group which are weakly contained in the left regular representation and in which a given linear combination of the generators has an eigenvalue. When the eigenvalue is specified, we conjecture that there is only one such representation. The representation we have found is described explicitly (modulo inversion of a certain rational map on Euclidean space) in terms of a positive definite function, and also by means of a quasi-invariant probability measure on the combinatorial boundary of the group.

scholarly journals Free group representations: Duplicity on the boundary

2021 ◽  
Author(s):  
Waldemar Hebisch ◽  
Gabriella Kuhn ◽  
Tim Steger
Keyword(s):  
Free Group ◽  
Group Representations
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