User gualterio

14 votes

6 answers

2k views

Any shortcuts to understanding the properties of the Riemannian manifolds which are used in the books on algebraic topology

asked Jan 6, 2021 at 6:44

8 votes

2 answers

500 views

A very elementary question on the definition of sheaf on a site

ct.category-theory sheaf-theory etale-cohomology

asked Nov 30, 2020 at 13:13

7 votes

0 answers

245 views

A diagram in the proof of Theorem 2.5.5 of 'Cohomology of Number Fields' and the Tate Spectral Sequence

reference-request algebraic-number-theory spectral-sequences galois-cohomology

asked Sep 4, 2019 at 10:21

5 votes

0 answers

254 views

Modern reference for Andre Weil's 'Sur les courbes algébriques et les variétés qui s'en déduisent'

ag.algebraic-geometry nt.number-theory reference-request algebraic-number-theory algebraic-curves

asked Mar 23, 2020 at 3:13

5 votes

1 answer

461 views

A question on the injectivity of a canonical map between galois cohomology groups

nt.number-theory algebraic-number-theory galois-cohomology

asked May 19, 2018 at 6:27

4 votes

1 answer

382 views

Elementary proof that a central simple algebra over a field having a maximal subfield is a cyclic algebra

brauer-groups associative-algebras central-simple-algebras

asked Jun 14, 2018 at 8:31

4 votes

1 answer

433 views

I want to know the name of or any references for a matrix in the book "The representation theory of the symmetric groups" by Gordon James

reference-request co.combinatorics rt.representation-theory terminology symmetric-groups

asked Oct 7, 2020 at 6:24

4 votes

1 answer

193 views

What is the $p$-regular partition corresponding to the sign representation of $S_{n}$ over a field of characteristic $p$?

gr.group-theory rt.representation-theory ra.rings-and-algebras symmetric-groups partitions

asked Apr 2, 2021 at 17:25

3 votes

2 answers

276 views

Is there any simple formula for the character of $S_{n}$ represented by the set of $k$-tuples of $\{1,2,...,n\}$?

reference-request gr.group-theory rt.representation-theory ra.rings-and-algebras symmetric-groups

asked Apr 13, 2021 at 16:32

3 votes

0 answers

93 views

Reference for the Netto's theorem on the permutation groups which was mentioned in the paper of Frobenius

reference-request gr.group-theory rt.representation-theory ho.history-overview symmetric-groups

asked Mar 9, 2021 at 15:33

3 votes

3 answers

703 views

Using Axiom of Replacement to construct the set of sets that are indexed by a set

ct.category-theory set-theory

asked Dec 19, 2020 at 12:05

3 votes

0 answers

76 views

Study of relative class number of 'non-abelian' CM field by using L-functions

nt.number-theory reference-request algebraic-number-theory l-functions computational-number-theory

asked Jun 13, 2021 at 14:41

3 votes

0 answers

228 views

The closed subgroup of the idele corresponding to the maximal elementary $p$-extension of a global field

algebraic-number-theory topological-groups class-field-theory

asked Jun 16, 2018 at 19:25

3 votes

0 answers

150 views

I want a elaboration of the sketch of proof given in the Serre's Galois Cohomology on the existence of the dualizing module

nt.number-theory algebraic-number-theory galois-cohomology duality

asked Dec 5, 2018 at 2:44

3 votes

1 answer

155 views

English reference for the Brauer-Kuroda formula

nt.number-theory reference-request algebraic-number-theory l-functions translation

asked May 14, 2020 at 15:35

3 votes

1 answer

187 views

How can we justify the use of Example 5,4 (of Cohen, Lenstra) assuming their heuristics

algebraic-number-theory computational-number-theory heuristics

asked Sep 16, 2019 at 2:21

3 votes

0 answers

74 views

I have a question on the definition of 'good' primes in the paper of Cohen and Martinet

nt.number-theory algebraic-number-theory computational-number-theory heuristics

asked Sep 3, 2020 at 10:16

2 votes

0 answers

87 views

Is there any good reference on the Bayesian view that can be helpful for reading papers on the number theory using heuristic arguments?

nt.number-theory reference-request algebraic-number-theory bayesian-probability heuristics

asked Jul 2, 2020 at 14:19

2 votes

1 answer

518 views

Motivation to study the order theory (ring theory)

nt.number-theory ac.commutative-algebra ra.rings-and-algebras algebraic-number-theory

asked Jul 22, 2019 at 8:48

1 vote

0 answers

134 views

The Iwasawa $\lambda$-invariant of the cyclotomic $\mathbb{Z}_3$-extension of $\mathbb{Q}(\sqrt{-3})$

reference-request algebraic-number-theory iwasawa-theory

asked Jan 16, 2019 at 7:45

1 vote

1 answer

328 views

A question on a proof in the Ralph Greenberg's paper "On a Certain l-Adic Representation"

nt.number-theory algebraic-number-theory iwasawa-theory

asked Jul 2, 2018 at 0:54

1 vote

1 answer

164 views

references on group representation over local fields / a question on an argument of a Ralph Greenberg's paper

reference-request rt.representation-theory algebraic-number-theory iwasawa-theory

asked Aug 13, 2018 at 5:01

1 vote

1 answer

135 views

Valuation theory on semisimple algebras used in the paper of Cohen-Martinet: reference request

reference-request ac.commutative-algebra ra.rings-and-algebras algebraic-number-theory valuation-theory

asked Nov 13, 2019 at 7:08

1 vote

0 answers

60 views

The completion of a ray class field

algebraic-number-theory class-field-theory

asked Sep 4, 2019 at 9:12

1 vote

0 answers

83 views

Is there any English reference for the paper 'Darstellungstheorie von Schur-Algebren' written by Fredrich Roesler?

reference-request rt.representation-theory ra.rings-and-algebras

asked Dec 12, 2020 at 9:15

1 vote

0 answers

204 views

Is there any research on the action of a subgroup on the whole finite group by conjugation?

reference-request gr.group-theory rt.representation-theory finite-groups symmetric-groups

asked Dec 26, 2020 at 10:30

0 votes

0 answers

116 views

Request for a modern Reference for Frobenius' paper "Über die Charaktere der mehrfach transitiven Gruppen"

reference-request gr.group-theory rt.representation-theory permutation-groups

asked Feb 1, 2021 at 9:34

0 votes

0 answers

165 views

Is there a roadmap to learning representation theory of finite group over finite field?

reference-request rt.representation-theory ra.rings-and-algebras modular-representation-theory

asked May 11, 2021 at 6:47

0 votes

1 answer

213 views

If two monic polynomials of $\mathbb{Z}_p[X]$ (p-adic integer coefficient) are relatively prime modulo p, then do they generate $\mathbb{Z}_p[X]$?

ra.rings-and-algebras polynomials p-adic-numbers

asked Aug 1, 2019 at 4:20

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29 Questions

Any shortcuts to understanding the properties of the Riemannian manifolds which are used in the books on algebraic topology

A very elementary question on the definition of sheaf on a site

A diagram in the proof of Theorem 2.5.5 of 'Cohomology of Number Fields' and the Tate Spectral Sequence

Modern reference for Andre Weil's 'Sur les courbes algébriques et les variétés qui s'en déduisent'

A question on the injectivity of a canonical map between galois cohomology groups

Elementary proof that a central simple algebra over a field having a maximal subfield is a cyclic algebra

I want to know the name of or any references for a matrix in the book "The representation theory of the symmetric groups" by Gordon James

What is the $p$-regular partition corresponding to the sign representation of $S_{n}$ over a field of characteristic $p$?

Is there any simple formula for the character of $S_{n}$ represented by the set of $k$-tuples of $\{1,2,...,n\}$?

Reference for the Netto's theorem on the permutation groups which was mentioned in the paper of Frobenius

Using Axiom of Replacement to construct the set of sets that are indexed by a set

Study of relative class number of 'non-abelian' CM field by using L-functions

The closed subgroup of the idele corresponding to the maximal elementary $p$-extension of a global field

I want a elaboration of the sketch of proof given in the Serre's Galois Cohomology on the existence of the dualizing module

English reference for the Brauer-Kuroda formula

How can we justify the use of Example 5,4 (of Cohen, Lenstra) assuming their heuristics

I have a question on the definition of 'good' primes in the paper of Cohen and Martinet

Is there any good reference on the Bayesian view that can be helpful for reading papers on the number theory using heuristic arguments?

Motivation to study the order theory (ring theory)

The Iwasawa $\lambda$-invariant of the cyclotomic $\mathbb{Z}_3$-extension of $\mathbb{Q}(\sqrt{-3})$

A question on a proof in the Ralph Greenberg's paper "On a Certain l-Adic Representation"

references on group representation over local fields / a question on an argument of a Ralph Greenberg's paper

Valuation theory on semisimple algebras used in the paper of Cohen-Martinet: reference request

The completion of a ray class field

Is there any English reference for the paper 'Darstellungstheorie von Schur-Algebren' written by Fredrich Roesler?

Is there any research on the action of a subgroup on the whole finite group by conjugation?

Request for a modern Reference for Frobenius' paper "Über die Charaktere der mehrfach transitiven Gruppen"

Is there a roadmap to learning representation theory of finite group over finite field?

If two monic polynomials of $\mathbb{Z}_p[X]$ (p-adic integer coefficient) are relatively prime modulo p, then do they generate $\mathbb{Z}_p[X]$?