The characters of the (total) Springer representations afford Green functions, that can understood as generalizations Hall–Littlewood’s Q-functions. In this paper, we present a purely algebraic proof GL(n) are Ext-orthogonal to each other, and show it is compatible with natural categorification ring symmetric functions.

The word haptics, believed to be derived from the Greek word haptesthai, means related to the sense of touch. In the psychology and neuroscience literature, haptics is the study of human touch sensing, specifically via kinesthetic (force/position) and cutaneous (tactile) receptors, associated with perception and manipulation. In the robotics and virtual reality literature, haptics is broadly de...

We complete the construction of the modular generalized Springer correspondence for an arbitrary connected reductive group, with a uniform proof of the disjointness of induction series that avoids the case-by-case arguments for classical groups used in previous papers in the series. We show that the induction series containing the trivial local system on the regular nilpotent orbit is determine...

Telerobots, remotely controlled robots, are widely used to explore undersea terrains and outer space, to defuse bombs, and to clean up hazardous waste. Until 1994, telerobots were accessible only to trained and trusted experts through dedicated communication channels. This chapter describes networked telerobots, a new class of telerobots controllable over networks such as the Internet, that are...

Let G be a complex symplectic group. In [K1], we singled out the nilpotent cone N of some reducible G-module, which we call the (1-) exotic nilpotent cone. In this paper, we study the set of G-orbits of the variety N. It turns out that the variety N gives a variant of the Springer correspondence for Weyl groups of type C, but shares a similar flavor with that of type A case. (I.e. there appears...

Actor: Entity (human or computer) possessing a capability to act intelligently and process specific assignments (activities/tasks). Atomic task: Task that can be handled by an individual actor. CAS: Collective adaptive system. Collaboration system (platform): Information system supporting execution of collaborative processes. Collaborative process (collaboration): Joint effort of a (limited) nu...

Y.E. Cohen et al. (eds.), Neural Correlates of Auditory Cognition, Springer Handbook of Auditory Research 45, DOI 10.1007/978-1-4614-2350-8_10, © Springer Science+Business Media New York 2013