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S. Carnahan ♦
S. Carnahan ♦
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theThe set of Schubert varieties ofin a flag variety is in one-to-one correspondence with elements of the Weyl groupsgroup via left cells,the. There is also some relation between products of Schubert varieties product the perverseand perverse sheaves on the flag variety ,[this is my best attempt to make sense of the previous form of this sentence - ed.].

my question isThe relations in Weyl groups can reflect toare reflected in Schubert varieties and then perversethe intersection homology sheaves  ,this but this relation is not $\le$,for$\leq$. For example, when $l(s*u)=l(u)+1$,where where $s$ is a simple reflection,then then we have $C(s)C(u)=C(su)$  ,where where $C(?)$ is a left cell,what the relation between Schubert varieties labeled $s,u,su$ ,and intersection cohomology of them

there must be people study this question ,but I donot know, If you know,please tell me ,Thank you very much.

Question: What is the relationship between Schubert varieties labeled $s,u,su$, and their intersection cohomology?

the set Schubert varieties of flag variety is one-to-one Weyl groups via left cells,the Schubert varieties product the perverse sheaves on flag variety ,

my question is relations in Weyl groups can reflect to Schubert varieties and then perverse sheaves  ,this relation is not $\le$,for example,$l(s*u)=l(u)+1$,where $s$ is a simple reflection,then we have $C(s)C(u)=C(su)$  ,where $C(?)$ is a left cell,what the relation between Schubert varieties labeled $s,u,su$ ,and intersection cohomology of them

there must be people study this question ,but I donot know, If you know,please tell me ,Thank you very much.

The set of Schubert varieties in a flag variety is in one-to-one correspondence with elements of the Weyl group via left cells. There is also some relation between products of Schubert varieties and perverse sheaves on the flag variety [this is my best attempt to make sense of the previous form of this sentence - ed.].

The relations in Weyl groups are reflected in Schubert varieties and the intersection homology sheaves, but this relation is not $\leq$. For example, when $l(s*u)=l(u)+1$, where $s$ is a simple reflection, then we have $C(s)C(u)=C(su)$, where $C(?)$ is a left cell.

Question: What is the relationship between Schubert varieties labeled $s,u,su$, and their intersection cohomology?

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yinjing bi
yinjing bi
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the set Schubert varieties of flag variety is one-to-one Weyl groups via left cells,the Schubert varieties product the perverse sheaves on flag variety ,my

my question is relations in Weyl groups can reflect to Schubert varieties and then perverse sheaves ,this relation is not $\le$,for example,$l(s*u)=l(u)+1$,where $s$ is a simple reflection,then we have $C(s)C(u)=C(su)$ ,where $C(?)$ is a left cell,therewhat the relation between Schubert varieties labeled $s,u,su$ ,and intersection cohomology of them

there must be people study this question ,but I donot know, If you know,please tell me ,Thank you very much.

the set Schubert varieties of flag variety is one-to-one Weyl groups via left cells,the Schubert varieties product the perverse sheaves on flag variety ,my question is relations in Weyl groups can reflect to Schubert varieties and then perverse sheaves ,this relation is not $\le$,for example,$l(s*u)=l(u)+1$,where $s$ is a simple reflection,then we have $C(s)C(u)=C(su)$ ,where $C(?)$ is a left cell,there must be people study this question ,but I donot know, If you know,please tell me ,Thank you very much.

the set Schubert varieties of flag variety is one-to-one Weyl groups via left cells,the Schubert varieties product the perverse sheaves on flag variety ,

my question is relations in Weyl groups can reflect to Schubert varieties and then perverse sheaves ,this relation is not $\le$,for example,$l(s*u)=l(u)+1$,where $s$ is a simple reflection,then we have $C(s)C(u)=C(su)$ ,where $C(?)$ is a left cell,what the relation between Schubert varieties labeled $s,u,su$ ,and intersection cohomology of them

there must be people study this question ,but I donot know, If you know,please tell me ,Thank you very much.

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yinjing bi
yinjing bi
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Schubert varieties of flag variety , perverse sheaves

the set Schubert varieties of flag variety is one-to-one Weyl groups via left cells,the Schubert varieties product the perverse sheaves on flag variety ,my question is relations in Weyl groups can reflect to Schubert varieties and then perverse sheaves ,this relation is not $\le$,for example,$l(s*u)=l(u)+1$,where $s$ is a simple reflection,then we have $C(s)C(u)=C(su)$ ,where $C(?)$ is a left cell,there must be people study this question ,but I donot know, If you know,please tell me ,Thank you very much.