What question did this study set out to answer?

To construct a categorification of a known Weyl-type character formula for generic weights in semisimple Lie algebras.

December 22, 2025Open Access

Categorification of generic Su-Zhang character formula

View Full Paper

Ask AI

Bookmark

To construct a categorification of a known Weyl-type character formula for generic weights in semisimple Lie algebras.
Developed a resolution from images of canonical homomorphisms between Verma modules.
Focused on non-conjugate Borel subalgebras using odd reflections.
Established a direct BGG-type categorification for a character formula.
Showed that the construction presents a new method divergent from previous infinite resolutions.

Discussion

No takes yet. Share an insight, caveat, or question.

Implication

This research constructs a categorification of character formulas in semisimple Lie algebras using Verma modules, highlighting the implications for Kac-Wakimoto weights.

Cite This Study

Shunsuke Hirota (2025) studied this question.

synapsesocial.com/papers/69488bc877063b71e748cf0e https://doi.org/10.48550/arxiv.2512.16095

View Full Paper

Ask AI

Bookmark

Implication

This research constructs a categorification of character formulas in semisimple Lie algebras using Verma modules, highlighting the implications for Kac-Wakimoto weights.

Categorification of generic Su-Zhang character formula

Key Points

Discussion

Implication

Cite This Study

Categorification of generic Su-Zhang character formula

Key Points

Discussion

Implication

Cite This Study

Also Consider

Also Consider