Bibliographic Details
| Title: |
Consecutive patterns, Kostant's problem and type A6. |
| Authors: |
Creedon, Samuel1 (AUTHOR) samuel.creedon@math.uu.se, Mazorchuk, Volodymyr1 (AUTHOR) mazor@math.uu.se |
| Source: |
International Journal of Algebra & Computation. Jun2026, Vol. 36 Issue 4, p317-356. 40p. |
| Subjects: |
Lie algebras, Patterns (Mathematics), Mathematical category theory, Modules (Algebra), Symmetry groups, Indecomposable modules |
| Abstract: |
For a permutation w in the symmetric group n , let L (w) denote the simple highest weight module in the principal block of the BGG category for the Lie algebra n (ℂ). We first prove that L (w) is Kostant negative whenever w consecutively contains certain patterns. We then provide a complete answer to Kostant's problem in type A 6 and show that the indecomposability conjecture also holds in type A 6 , that is, applying an indecomposable projective functor to a simple module outputs either an indecomposable module or zero. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
