MATHEMATICAL TRIPOS
Part II
Alternative B
Thursday 6 June 2002 1.30 to 4.30
PAPER 4
Before you begin read these instructions carefully.
Candidates must not attempt more than FOUR questions. If you submit answers to more
than four questions, your lowest sc

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MATHEMATICAL TRIPOS
Part II
Alternative B
Monday 3 June 2002 1.30 to 4.30
PAPER 1
Before you begin read these instructions carefully.
The number of marks for each question is the same. Additional credit will be given for a
substantially complete answer.
W

MATHEMATICAL TRIPOS
Part II
Alternative B
Wednesday 5 June 2002 9 to 12
PAPER 3
Before you begin read these instructions carefully.
The number of marks for each question is the same. Additional credit will be given for a
substantially complete answer.
Wri

MATHEMATICAL TRIPOS
Part II
Alternative B
Thursday 5 June 2003 1.30 to 4.30
PAPER 3
Before you begin read these instructions carefully.
The number of marks for each question is the same. Additional credit will be given for a
substantially complete answer.

MATHEMATICAL TRIPOS
Part II
Alternative B
Wednesday 6 June 2001 9.00 to 12.00
PAPER 3
Before you begin read these instructions carefully.
The number of marks for each question is the same. Additional credit will be given for a
substantially complete answe

MATHEMATICAL TRIPOS
PART III
Tuesday, 2 June, 2015 9:00 am to 12:00 pm
PAPER 2
LIE ALGEBRAS AND THEIR REPRESENTATIONS
Attempt no more than FOUR questions.
There are SIX questions in total.
The questions carry equal weight.
All Lie algebras are finite-dime

MATHEMATICAL TRIPOS
Part II
Alternative B
Wednesday 2 June 2003 9 to 12
PAPER 2
Before you begin read these instructions carefully.
The number of marks for each question is the same. Additional credit will be given for a
substantially complete answer.
Wri

MATHEMATICAL TRIPOS
Part II
Alternative B
Wednesday 2 June 2004 9 to 12
PAPER 2
Before you begin read these instructions carefully.
The number of marks for each question is the same.
Additional credit will be given for a substantially complete answer.
Wri

MATHEMATICAL TRIPOS
Part II
Alternative B
Thursday 7 June 2001 1.30 to 4.30
PAPER 4
Before you begin read these instructions carefully.
Candidates must not attempt more than FOUR questions.
The number of marks for each question is the same. Additional cre

MATHEMATICAL TRIPOS
PART III
Friday, 3 June, 2011 1:30 pm to 4:30 pm
PAPER 2
DECISION PROBLEMS IN GROUP THEORY
Attempt no more than FOUR questions.
There are SIX questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover sheet
SPE

MATHEMATICAL TRIPOS
PART III
Thursday, 4 June, 2015 1:30 pm to 4:30 pm
PAPER 3
REPRESENTATION THEORY
Attempt no more than FOUR questions.
There are SIX questions in total.
The questions carry equal weight.
Throughout k is a fixed field, assumed to be alge

MATHEMATICAL TRIPOS
Part II
Alternative B
Monday 4 June 2001 1.30 to 4.30
PAPER 1
Before you begin read these instructions carefully.
The number of marks for each question is the same. Additional credit will be given for a
substantially complete answer.
W

MATHEMATICAL TRIPOS
PART III
Wednesday, 5 June, 2013 1:30 pm to 4:30 pm
PAPER 1
LIE ALGEBRAS AND THEIR REPRESENTATIONS
Attempt no more than FOUR questions.
There are SIX questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover s

MATHEMATICAL TRIPOS
Part II
Alternative B
Thursday 3 June 2004 1.30 to 4.30
PAPER 3
Before you begin read these instructions carefully.
The number of marks for each question is the same.
Additional credit will be given for a substantially complete answer.

MATHEMATICAL TRIPOS
PART III
Monday, 1 June, 2015 9:00 am to 12:00 pm
PAPER 1
COMMUTATIVE ALGEBRA
Attempt no more than FOUR questions.
There are SIX questions in total.
The questions carry equal weight.
Except in question 6, all rings are assumed to be co

MATHEMATICAL TRIPOS
PART III
Monday, 2 June, 2014 9:00 am to 12:00 pm
PAPER 2
LIE ALGEBRAS AND THEIR REPRESENTATIONS
Attempt no more than THREE questions.
There are SIX questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover sh

MATHEMATICAL TRIPOS
Part II
Alternative B
Tuesday 5 June 2001 9.00 to 12.00
PAPER 2
Before you begin read these instructions carefully.
The number of marks for each question is the same. Additional credit will be given for a
substantially complete answer.

MATHEMATICAL TRIPOS
PART III
Tuesday, 7 June, 2011 1:30 pm to 4:30 pm
PAPER 3
COMMUTATIVE ALGEBRA
Attempt no more than FOUR questions.
There are SIX questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover sheet
SPECIAL REQUIREM

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MATHEMATICAL TRIPOS
PART III
Monday, 6 June, 2011 9:00 am to 12:00 pm
PAPER 1
INTRODUCTION TO LIE ALGEBRAS
AND THEIR REPRESENTATIONS
Attempt ALL questions.
There are FIVE questions in total.
Question THREE carries the most weight.
All Lie algebras are ove

MATHEMATICAL TRIPOS
Part II
Alternative B
Tuesday 4 June 2002 9 to 12
PAPER 2
Before you begin read these instructions carefully.
The number of marks for each question is the same. Additional credit will be given for a
substantially complete answer.
Write

MATHEMATICAL TRIPOS
Part II
Alternative B
Friday 4 June 2004 9 to 12
PAPER 4
Before you begin read these instructions carefully.
Candidates must not attempt more than FOUR questions.
The number of marks for each question is the same.
Additional credit wil

MATHEMATICAL TRIPOS
PART III
Friday, 6 June, 2014 1:30 pm to 4:30 pm
PAPER 3
REPRESENTATION THEORY AND QUIVERS
Attempt no more than FOUR questions.
There are SIX questions in total.
The questions carry equal weight.
Throughout, let k be an algebraically c

MATHEMATICAL TRIPOS
Part II
Alternative B
Friday 6 June 2003 9 to 12
PAPER 4
Before you begin read these instructions carefully.
Candidates must not attempt more than FOUR questions.
The number of marks for each question is the same. Additional credit wil

MATHEMATICAL TRIPOS
PART III
Monday, 4 June, 2012 1:30 pm to 4:30 pm
PAPER 5
INTRODUCTION TO FUNCTIONAL ANALYSIS
Attempt no more than THREE questions.
There are FOUR questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover sheet

MATHEMATICAL TRIPOS
PART III
Tuesday, 5 June, 2012 9:00 am to 12:00 pm
PAPER 6
ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS
Attempt no more than FOUR questions.
There are SIX questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover s

MATHEMATICAL TRIPOS
PART III
Friday, 30 May, 2014 9:00 am to 11:00 am
PAPER 4
TOPICS IN INFINITE GROUPS
Attempt no more than THREE questions.
There are FIVE questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover sheet
SPECIAL

MATHEMATICAL TRIPOS
PART III
Monday, 9 June, 2014 9:00 am to 12:00 pm
PAPER 7
TOPICS IN KINETIC THEORY
Attempt no more than THREE questions.
There are FOUR questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover sheet
SPECIAL R