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math.RT2015
Balanced semisimple filtrations for tilting modules
Amit Hazi
Let be a quantum group at an th root of unity. Many tilting modules for have been shown to have what we call a balanced semisimple filtration, or a Loewy series whos…
math.RT2015
Radically filtered quasi-hereditary algebras and rigidity of tilting modules
Amit Hazi
Let be a quasi-hereditary algebra. We prove that in many cases, a tilting module is rigid (i.e. has identical radical and socle series) if it does not have certain subquotients…