Corrections to: “On the equivariant K-theory of the nilpotent cone in the general linear group”

Corrections To: “on the Equivariant K -theory of the Nilpotent Cone in the General Linear Group”

In the paper [P. Achar, On the equivariant K-theory of the nilpotent cone in the general linear group, Represent. Theory 8 (2004), 180–211], the author gave a combinatorial algorithm for computing the Lusztig–Vogan bijection for GL(n,C). However, that paper failed to mention one easy case that may sometimes arise, making the description of the algorithm incomplete. This note fills in that gap.

On the Equivariant K -theory of the Nilpotent Cone in the General Linear Group

Let G be a simple complex algebraic group. Lusztig and Vogan have conjectured the existence of a natural bijection between the set of dominant integral weights of G, and the set of pairs consisting of a nilpotent orbit and a finite-dimensional irreducible representation of the isotropy group of the orbit. This conjecture has been proved by Bezrukavnikov. In this paper, we develop combinatorial ...

On the Equivariant K-theory of the Nilpotent Cone

In this note we construct a “Kazhdan-Lusztig type” basis in equivariant K-theory of the nilpotent cone of a simple algebraic group G. This basis conjecturally is very close to the basis of this K-group consisting of irreducible bundles on nilpotent orbits. As a consequence we get a natural (conjectural) construction of Lusztig’s bijection between dominant weights and pairs {nilpotent orbit O, i...

the analysis of the role of the speech acts theory in translating and dubbing hollywood films

از محوری ترین اثراتی که یک فیلم سینمایی ایجاد می کند دیالوگ هایی است که هنرپیش گان فیلم میگویند. به زعم یک فیلم ساز, یک شیوه متأثر نمودن مخاطب از اثر منظوره نیروی گفتارهای گوینده, مثل نیروی عاطفی, ترس آور, غم انگیز, هیجان انگیز و غیره, است. این مطالعه به بررسی این مسأله مبادرت کرده است که آیا نیروی فراگفتاری هنرپیش گان به مثابه ی اعمال گفتاری در پنج فیلم هالیوودی در نسخه های دوبله شده باز تولید...

Equivariant Coherent Sheaves on the Nilpotent Cone in the General Linear Group