A reductive group is an algebraic group $G$ over an algebraically closed field such that the unipotent radical of $G$ is trivial

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### Valuations of root group elements appearing in the intersection of Iwasawa and Cartan double cosets

**3**

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### Geometric interpretation of duality for representations of reductive groups

**1**

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### Pairing half the sum of the roots with a simple coroot

**2**

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### Do the absolute roots restricting to a given root form a Galois orbit?

**1**

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### Is the root cone is contained in the weight cone?

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### Errata for Casselman's unpublished notes

**2**

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### Minimal parabolic subgroups are $G(k)$-conjugate: a cohomological interpretation?

**1**

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### Group schemes and Hyperspecial maximal compact subgroups

**4**

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### Integral structures via lattices

**2**

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### semisimple support of character sheaves

**10**

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### Bernstein-Zelevinsky classification: viewing a representation as a subrepresentation or a quotient

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### Irreducibility of the unramified principal series

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### A normalized embedding $\mathbb C \rightarrow \mathfrak a_M^{\ast}$ via $\tilde{\alpha}$

**8**

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### Local Langlands Correspondence for unramified principal series representations

**3**

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### On Local Langlands correspondences

**3**

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### Possible groups appearing in a Shimura datum

**5**

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### When is an irreducible unramified principal series representation $K$-spherical?

**3**

**1**answer

### Diagonalizable pro-algebraic group in Kottwitz's 1985 Compositio paper

**8**

**2**answers

### How does the Bernstein-Zelevinsky construction of irreducibles from supercuspidals parallel the representations of the Weil-Deligne group?

**8**

**1**answer

### Definitions of $\pi_1 \times \pi_2, \pi_1 \boxplus \pi_2, \pi_1 \boxtimes \pi_2$

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### Local Langlands for $\textrm{GL}_n \times \textrm{GL}_m$

**5**

**1**answer

### Representations versus (g,K) modules

**14**

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### What is the archimedean Hecke algebra?

**4**

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### Why the hyperoctahedral group is a ``reductive'' group?

**1**

**1**answer

### Complexification of compact Lie Groups and complex algebraic linear reductive groups

**2**

**1**answer

### Contragredient of a cuspidal representation

**2**

**1**answer

### Functions in the induced space compactly supported in $PN^-$ modulo $P$

**2**

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### Is there a “big open cell” analogue for parabolic subgroups?

**1**

**1**answer

### Is the Borel subgroup the only closed double coset?

**2**

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### Continuity of the conductor of automorphic representations

**3**

**1**answer

### Making sense out of intertwining operators defined by a vector valued integral

**3**

**1**answer

### For tori $S \subseteq T$, every character of $S(k)$ extends to a character of $T(k)$?

**6**

**1**answer

### Representations of groups with the same derived group, how much control do we have over the central character?

**5**

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### Dimension of space of K-fixed vectors

**8**

**1**answer

### Connections between representations of $\operatorname{SL}_n$ and $\operatorname{GL}_n$

**3**

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### Are these statements correct for all reductive groups, or just for $\operatorname{GL}_2$?

**4**

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### Meaning of a highly ramified character for reductive groups

**1**

**1**answer

### Reduced decomposition for Weyl group elements which support a Bessel function

**5**

**1**answer

### Generic supercuspidal representations of $\operatorname{GL}_n$ can be defined by integrals over $U$

**11**

**2**answers

### Split rank of inner forms

**6**

**1**answer

### Rosenlicht's theorem and rationality questions

**2**

**1**answer

### Discrete decomposability of unitary representation

**3**

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### Holomorphic homomorphism of complex reductive groups is algebraic

**3**

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### Kottwitz's vertical map

**0**

**1**answer

### Existence of a model over S-integers

**0**

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### Clarification on the definition of a smooth affine scheme over an integral domain

**10**

**2**answers

### Automorphic quotients for inner forms or $GSp(4)$

**3**

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### Special fibers of parahorics

**1**

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### Integral smooth model of unramified reductive groups

**11**

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