5 papers
Two remarks on decomposition numbers of standard modules for quantum affine
Xin Fang, Deniz Kus, Markus Reineke
We use Nakajima's geometric approach to representations of quantum affine algebras and recent results on explicit descriptions of specific canonical basis elements, to derive close…
Graded embeddings, root generated subalgebras and -systems for quasisimple Kac-Moody superalgebras
Irfan Habib, Deniz Kus, Chaithra Pilakkat
Motivated by a construction of Gorelik and Shaviv, we show that the real roots of a root generated subalgebra associated with a -system contained in the positive roots are obta…
Parabolic quantum affine algebras
Kudret Bostanci, Deniz Kus
Maximal parabolic subalgebras of untwisted affine Kac-Moody algebras were studied in the context of Borel-de Siebenthal theory in [13], where they were realized as certain equivari…
Marked multi-colorings, partially commutative Lie superalgebras and right-angled Coxeter groups
Chaithra P, Deniz Kus, R. Venkatesh
Infinite-dimensional Lie superalgebras, particularly Borcherds-Kac-Moody (BKM) superalgebras, play a fundamental role in mathematical physics, number theory, and representation the…
A piecewise-linear formula for rigid representations of Dynkin quivers
Deniz Kus, Markus Reineke
We derive a piecewise-linear formula for the rigid representation of a Dynkin quiver of a given dimension vector, and illustrate the formula in several examples.