How Long to Read Introduction to Affine Group Schemes

How Long Does it Take to Read Introduction to Affine Group Schemes?

It takes the average reader 2 hours and 51 minutes to read Introduction to Affine Group Schemes by W.C. Waterhouse

Assuming a reading speed of 250 words per minute. Learn more

Description

Ah Love! Could you and I with Him consl?ire To grasp this sorry Scheme of things entIre' KHAYYAM People investigating algebraic groups have studied the same objects in many different guises. My first goal thus has been to take three different viewpoints and demonstrate how they offer complementary intuitive insight into the subject. In Part I we begin with a functorial idea, discussing some familiar processes for constructing groups. These turn out to be equivalent to the ring-theoretic objects called Hopf algebras, with which we can then con struct new examples. Study of their representations shows that they are closely related to groups of matrices, and closed sets in matrix space give us a geometric picture of some of the objects involved. This interplay of methods continues as we turn to specific results. In Part II, a geometric idea (connectedness) and one from classical matrix theory (Jordan decomposition) blend with the study of separable algebras. In Part III, a notion of differential prompted by the theory of Lie groups is used to prove the absence of nilpotents in certain Hopf algebras. The ring-theoretic work on faithful flatness in Part IV turns out to give the true explanation for the behavior of quotient group functors. Finally, the material is connected with other parts of algebra in Part V, which shows how twisted forms of any algebraic structure are governed by its automorphism group scheme.

How long is Introduction to Affine Group Schemes?

Introduction to Affine Group Schemes by W.C. Waterhouse is 167 pages long, and a total of 42,919 words.

This makes it 56% the length of the average book. It also has 52% more words than the average book.

How Long Does it Take to Read Introduction to Affine Group Schemes Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 54 minutes to read Introduction to Affine Group Schemes aloud.

What Reading Level is Introduction to Affine Group Schemes?

Introduction to Affine Group Schemes is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Introduction to Affine Group Schemes?

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