Return to Answer

I think this book by Goodman&Wallach, "Representations and Invariants for Classical Groups", (you can find a google preview if you wish) is very good. Only a few chapters in this book are 100% relevant to the topic, but if you focus on them you should get a good basic picture.

Else if you are interested in invariant theory for unipotent groups (often if you try computing invariant theory for direct sums of representations of reductive groups, you will end up with something involving unipotent groups as well, for instance), there is a good paper, (it is somewhat algorithmic though) : http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=57495 .

I think this book by Goodman&Wallach, "Representations and Invariants of the Classical Groups", (you can find a google preview if you wish) is very good. Only a few chapters in this book are 100% relevant to the topic, but if you focus on them you should get a good basic picture.

Else if you are interested in invariant theory for unipotent groups (often if you try computing invariant theory for direct sums of representations of reductive groups, you will end up with something involving unipotent groups as well, for instance), there is a good paper, (it is somewhat algorithmic though) : Sancho de Salas - Invariant theory for unipotent groups adnd an algorithm for computing invariants.

I think this book by Nolan&Wallach, "Representations and Invariants for Classical Groups", (you can find a google preview if you wish) is very good. Only a few chapters in this book are 100% relevant to the topic, but if you focus on them you should get a good basic picture.

Else if you are interested in invariant theory for unipotent groups (often if you try computing invariant theory for direct sums of representations of reductive groups, you will end up with something involving unipotent groups as well, for instance), there is a good paper, (it is somewhat algorithmic though) : http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=57495 .

I think this book by Goodman&Wallach, "Representations and Invariants for Classical Groups", (you can find a google preview if you wish) is very good. Only a few chapters in this book are 100% relevant to the topic, but if you focus on them you should get a good basic picture.

Else if you are interested in invariant theory for unipotent groups (often if you try computing invariant theory for direct sums of representations of reductive groups, you will end up with something involving unipotent groups as well, for instance), there is a good paper, (it is somewhat algorithmic though) : http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=57495 .

I think this book by Nolan&Wallach, "Representations and Invariants for Classical Groups", google preview here is very good. Only a few chapters in this book are 100% relevant to the topic, but if you focus on them you should get a good basic picture.

Else if you are interested in invariant theory for unipotent groups (often if you try computing invariant theory for direct sums of representations of reductive groups, you will end up with something involving unipotent groups as well, for instance), there is a good paper here , it is somewhat algorithmic though.

I do not know how to get the links right, please correct the awkward linking if possible.

I think this book by Nolan&Wallach, "Representations and Invariants for Classical Groups", (you can find a google preview if you wish) is very good. Only a few chapters in this book are 100% relevant to the topic, but if you focus on them you should get a good basic picture.

Else if you are interested in invariant theory for unipotent groups (often if you try computing invariant theory for direct sums of representations of reductive groups, you will end up with something involving unipotent groups as well, for instance), there is a good paper, (it is somewhat algorithmic though) : http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=57495 .