173. [K. 13. a.] The Remarque Minuscule

K-theory of Minuscule Varieties

Based on Thomas and Yong’s K-theoretic jeu de taquin algorithm, we prove a uniform Littlewood-Richardson rule for the K-theoretic Schubert structure constants of all minuscule homogeneous spaces. Our formula is new in all types. For the main examples of Grassmannians of type A and maximal orthogonal Grassmannians it has the advantage that the tableaux to be counted can be recognized without ref...

Minuscule Representations

The meaning of a minuscule ribozyme.

The smallest ribozyme that carries out a complex group transfer is the sequence GUGGC-3', acting to aminoacylate GCCU-3' (and host a manifold of further reactions) in the presence of substrate PheAMP. Here, I describe the enzymatic rate, the characterization of about 20 aminoacyl-RNA and peptidyl-RNA products and the pathways of these GUGGC/GCCU reactions. Finally, the topic is evolution, and t...

173 Bieber

The Participatory Learning Approach (PLA, pronounced “play”) engages students as active participants in the full life cycle of homework, projects, and examination. PLA’s core idea is that students design the questions or projects, execute them, and then assess and grade their peers’ solutions. Each stage can be performed by individuals or by teams. Students should be able to observe (read) ever...

On Minuscule Representations and the Principal Sl2

We study the restriction of minuscule representations to the principal SL2, and use this theory to identify an interesting test case for the Langlands philosophy of liftings. In this paper, we review the theory of minuscule co-weights λ for a simple adjoint group G over C, as presented by Deligne [D]. We then decompose the associated irreducible representation Vλ of the dual group Ĝ, when restr...